Question
Write the product in the standard form. (0.4𝑥 + 1.2)2
Hint:
The methods used to find the product of binomials are called special products.
Multiplying a number by itself is often called squaring.
For example (x + 3)(x + 3) = (x + 3)2
The correct answer is: 1.44
(0.4x + 1.2)2 can be written as (
x +
)2 which can be further written as (
x +
)(
x +
)
(
x +
)(
x +
) =
x(
x +
) + (
x +
)
=
x(
x) +
x(
) +
(
x) +
(
)
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell equals 4 over 25 x squared plus 12 over 25 x plus 12 over 25 x plus 36 over 25 end cell row cell equals 4 over 25 x squared plus 24 over 25 x plus 36 over 25 end cell end table](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOUAAABSCAYAAACrBhPbAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAuHPKfUQAABsRJREFUeNrtnUFkXVkYx49nPGNEGFHxzCLEEzEqSkWNEVFqRGVRoSq6qApZVBfVfVfdZFVddFOzzKLEGDXGUyoqahYhorqoKtVVt11E1fMMmfN3v2uu69y8m9z73rnnO/8fH7nv3dL/uec79zvnnfu/xjSLVRvHRjdzNh7YeFPw/a82/rBxZGMg592kPu9cttGz8c1G38YHG49tTBWcv2hjR3Ti/L9sLIfWWSdsvIsgKbdtbJ6gc8/GurQH+NnGP/IZ9fnjlY01G+3MZxdsvHCcuylJOCfHkzLwvA6tsz61sRFBUqacRueMjbfU10iOcscYZA40dFCUNLtnuJixJKWREoj6msWsjfeOm8t66J2zLaPkDJOykF+kxKO+ZjBt47bMK6/mvkOSdkLvnFs27lYYYbUn5fc29qWaoD7/mrJxr+COj7nknyZZFBpIORvMYt2CY4RkUv7Pjzae2/iN+hoF/t/XZDBZdug+lDvodzZaMuDgrnonBHEQ1fWQlOlIN5BBodvATjsrHbZrwkS7PjAhfTgLFn5+cpyLldrPoVy4k2LUtGT0OmxYp5238buNH5RWAhr0ZcvVLD3pVy4GMSyAjKphferEIsKOlD4ay3Mt+tLp14fcZxjkbxQMRPtMynJgTrDXIJ1/ywXUOmcOVR/6yPXMPBE7fD7ZuJU7ry3nbmQGnksm+YXhCpNyOB2ZU856LtnLlvShTkk06FuSAaUvgR0+qwXnnpPy/KuNfyVJlwwZypw0codNQYh/OjIhnwxkzqt9Tk99ikEdv+X4/KF8l9KrMK85VqCf+hSMLL5/ujgN+HljOnOM7VBPTjnvCfmiltFPfWSsrNh4JH9jtWs3svKnqn7qi6B+H2UU8dIkP3XgAdopj5VCCPqpr3n61JWvABuFsXtiIdKFgir6qY/UTmo3gRJnPcKkrKqf+kitYBMAbBiwpxKbhQ9qKF9Duqh16Kc+UhvYRdHLXSTsuNiOJCnr0k99pBaw3xAPlboemXlmkhU76qc+UjAXGGYtGPrez1j1U1+A+spaC2otL7Trpz4l/ddlLRhTza9dP/UFSj/yibh2/dQXGC5rwZiSUrt+6guMImvB1NAKE2osgd/P1PGa0K6f+gLTV8ZaEFYKF03yshgY3M4rSkjt+qkvMH1nsRaE+D0lCaldP/UFpq+KtWBfQUJq1099gemrYi143sbHwBNSu37qC1BfWWtBbKfCqlZLYkUErQWelNr1U1+A+spuP4K3JgxuYc33RUanRQWlq3b91Ke7/xJCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQjwDR2+tHkRlfVFDbZPLJrH3+GaSZyOx6fyxKX5tAjah70h74Hy8bmGZKdAs4NPyztDXNtQ2eWWSx6/amc8u2HjhOHdTknBOjidlgHrNNGgWT03yCvDYfW21tclR7hiD0QG7exilXfrG4dh9bTW1Cfx63jsGmnV2+WbTlrvFTIRJ6fJF1dAmsAa5LfPKq7nvkKQddvtms2XjbuY4lqQs8kUNuU3yjgP3CioDzCVhC4JFoYGUszeZCs1gwcTpAH+SL6qGNoG+azLoLDu0HModFCZbLRmYcFe9w5TwDy5a10MHTEfygSRAd4yah/mi+mqTUTAherJg4cf1Hk2s1H5mSjSv3Bn3+wpbMjofjklvGV9U321SN/mFrJ60u4sBU6K5ieq744xq8eOsvqih3ikXpCzNgkHwRsGAtc/uz6Q0MucZh2V+WV/UUJMSbXg9M0/EDp9PNm7lzmvLuRuZAeqSSVabr7D7Myk7Mqec9Vyqa0jKJRl4+hLY4bNacO45KeO/msT/dU/+PYmcOelE/M2MkAbQkQWHyYjmd9RHvIB5ypbj84fyXUpP6fyurH4mpYKRM6Rlevy8MZ05xnavJyU0abmTlNHPpCRjBW9xeiR/YzVvN7Lyrqp+JiXvspWiiJcm+akDDxJPeawUQtAfoj4mVoCNh43Q2B2yEOlCSBX9TAZSO6ntBkq49QiTsqp+JiWpFWwCgM0E9pZiM/RBDeVrSJ22Dv1MSlIb2CXSy3VC7CjZjiQp69LPpCS1gP2UeGjW9UjQM5OsSFI/IQVznWEWi1pX47Trj/36BklZi8Vj6qc+4g+XxeIx9VMf8Us/8oumXX+fSRkWLovFY+qnPuKHIovF1NAKCwZY4r+fmadQP/WREXGSxWIKrCIu2nhgEgPfeeqnPjIahlksusDF3aN+6iP1U8ZiseyCAfVTH6lIFYvF8zY+Uj/1kXopa7GI7WJYtWtJrMgFW6N+6iP1UnZ7FbxDYeAL68EvMvouUj/1pfwHL5n9mF0SlgsAAAKvdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG10YWJsZSBjb2x1bW5hbGlnbj0icmlnaHQgbGVmdCByaWdodCBsZWZ0IHJpZ2h0IGxlZnQgcmlnaHQgbGVmdCByaWdodCBsZWZ0IHJpZ2h0IGxlZnQiIGNvbHVtbnNwYWNpbmc9IjBlbSAyZW0gMGVtIDJlbSAwZW0gMmVtIDBlbSAyZW0gMGVtIDJlbSAwZW0iPjxtdHI+PG10ZD48bW8+PTwvbW8+PG1mcmFjPjxtbj40PC9tbj48bW4+MjU8L21uPjwvbWZyYWM+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtZnJhYz48bW4+MTI8L21uPjxtbj4yNTwvbW4+PC9tZnJhYz48bWk+eDwvbWk+PG1vPis8L21vPjxtZnJhYz48bW4+MTI8L21uPjxtbj4yNTwvbW4+PC9tZnJhYz48bWk+eDwvbWk+PG1vPis8L21vPjxtZnJhYz48bW4+MzY8L21uPjxtbj4yNTwvbW4+PC9tZnJhYz48L210ZD48L210cj48bXRyPjxtdGQ+PG1vPj08L21vPjxtZnJhYz48bW4+NDwvbW4+PG1uPjI1PC9tbj48L21mcmFjPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bWZyYWM+PG1uPjI0PC9tbj48bW4+MjU8L21uPjwvbWZyYWM+PG1pPng8L21pPjxtbz4rPC9tbz48bWZyYWM+PG1uPjM2PC9tbj48bW4+MjU8L21uPjwvbWZyYWM+PC9tdGQ+PC9tdHI+PC9tdGFibGU+PC9tYXRoPowuhkMAAAAASUVORK5CYII=)
= 0.16x2 + 0.96x + 1.44
Final Answer:
Hence, the simplified value of (0.4𝑥 + 1.2)2 is 0.16x2 + 0.96x + 1.44.
Final Answer:
Hence, the simplified value of (0.4𝑥 + 1.2)2 is 0.16x2 + 0.96x + 1.44.
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
Related Questions to study
What is the area of the shaded region?
![](data:image/png;base64,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)
What is the area of the shaded region?
![](data:image/png;base64,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)
What is the total area of four white triangles if 𝑥 = 12 𝑐𝑚?
![](data:image/png;base64,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)
What is the total area of four white triangles if 𝑥 = 12 𝑐𝑚?
![](data:image/png;base64,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)
Describe the possible values of x.
![](data:image/png;base64,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)
Describe the possible values of x.
![](data:image/png;base64,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)
What expression represents the total area of the four white triangles?
![](data:image/png;base64,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)
What expression represents the total area of the four white triangles?
![](data:image/png;base64,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)
Write the product in the standard form. (𝑥2 − 2𝑦)(𝑥2 + 2𝑦)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in the standard form. (𝑥2 − 2𝑦)(𝑥2 + 2𝑦)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in the standard form. (𝑥 − 2.5)(𝑥 + 2.5)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in the standard form. (𝑥 − 2.5)(𝑥 + 2.5)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
5 inches, 12 inches
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
5 inches, 12 inches
Write the product in the standard form. (3𝑎 − 4𝑏)(3𝑎 + 4𝑏)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in the standard form. (3𝑎 − 4𝑏)(3𝑎 + 4𝑏)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in the standard form. ![open parentheses 1 fourth x minus 2 over 3 close parentheses open parentheses 1 fourth x plus 2 over 3 close parentheses](data:image/png;base64,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)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in the standard form. ![open parentheses 1 fourth x minus 2 over 3 close parentheses open parentheses 1 fourth x plus 2 over 3 close parentheses](data:image/png;base64,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)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
How is it possible that the sum of two quadratic trinomials is a linear binomial?
How is it possible that the sum of two quadratic trinomials is a linear binomial?
If (3x-4) (5x+7) = 15x2-ax-28, so find the value of a?
If (3x-4) (5x+7) = 15x2-ax-28, so find the value of a?
The difference of x4+2x2-3x+7 and another polynomial is x3+x2+x-1. What is the
another polynomial?
The difference of x4+2x2-3x+7 and another polynomial is x3+x2+x-1. What is the
another polynomial?
Use the product of sum and difference to find 83 × 97.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Use the product of sum and difference to find 83 × 97.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Determine the gradient and y-intercept from the following equation: 4x + y = -10
Determine the gradient and y-intercept from the following equation: 4x + y = -10
Use the product of sum and difference to find 32 × 28.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Use the product of sum and difference to find 32 × 28.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2