Question
Write the product in the standard form. (𝑥 − 2.5)(𝑥 + 2.5)
Hint:
The methods used to find the product of binomials are called special products.
Difference of squares is a case of a special product which occurs when we multiply a binomial by another binomial with the same terms but the opposite sign
The correct answer is: 6.25.
(x − 2.5)(x + 2.5) = (x −
)(x +
)
= x(x +
) -
(x +
)
= x(x) + x(
) -
(x) -
(
)
= x2 +
x -
x -![25 over 4](data:image/png;base64,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)
= x2 - ![25 over 4](data:image/png;base64,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)
= x2 - 6.25
Final Answer:
Hence, the simplified form of (𝑥 − 2.5)(𝑥 + 2.5) is x2 - 6.25.
Final Answer:
Hence, the simplified form of (𝑥 − 2.5)(𝑥 + 2.5) is x2 - 6.25.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Related Questions to study
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.
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This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
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This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
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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