Question
Use a table to find the product.
(2𝑥 + 1) (4𝑥 + 1)
The correct answer is: 8x2 + 6x + 1
Answer:
- Given:
(2x + 1) (4x + 1)
- Step 1:
![](data:image/png;base64,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)
- Step 2:
Add all terms:
(8x2 + 4x + 2x + 1)
= 8x2 + 6x + 1
Hence,
(2x + 1) (4x + 1) = 8x2 + 6x + 1
- Final Answer:
8x2 + 6x + 1
- Given:
Hence,
Related Questions to study
Graph the equation
on a coordinate plane.
Graph the equation
on a coordinate plane.
Use a table to find the product.
(𝑥 − 6) (3𝑥 + 4)
Use a table to find the product.
(𝑥 − 6) (3𝑥 + 4)
Why the product of two binomials (𝑎 + 𝑏) and (𝑎 − 𝑏) is a binomial instead of a trinomial?
Why the product of two binomials (𝑎 + 𝑏) and (𝑎 − 𝑏) is a binomial instead of a trinomial?
Graph the equation ![straight Y equals negative 0.5 straight x](data:image/png;base64,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)
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.
Graph the equation ![straight Y equals negative 0.5 straight x](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE0AAAANCAYAAADsUePcAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAZRJREFUeNpjYGBgWAjEQQzYQTJUfjACPiCeBsQnoXgmVAwX+I8Hkwx4gPgCEIujiYsC8TkCDhlIsBeI/ZD4PlAxfIFGVWALxNvQxJZCxQcjCAXiSVjEJwBxJL0CDQS6gDgLynYB4g6GwQvWALEbFnFHqBy5gcYBxMeBWBpLrjsDlUcBLFANekC8AcpnILOM+E+rmIWCd0DMhkUcJPaSwpSmgyXXbcERSXAN34BYjWFwgz945H7hCTSQ3CdooBRBy3NsIAcp18UD8WIGIlIQvQC5qRVfoP0gYCcoBxkDcS0Q3wBiDRzqVgGxPRDfBWJhagXaQGbPlziyJwee7IkNgLLcQTyVIyhlphEbGIMdgAp7DxyBsIZEs7ClTCYgPgzE0dDybFgEGqgxPhuL+Hw8TQ5cZfhdLOKNQJwIZcdCmzJDPtBAYD8QF0DLKFBWrcaS1ZCLiXVAbAlNRUzQlHoXS2/IFFqeIYM+aOAN+UATBOK50Oz1DdqN4sETaKAG8S1oJfIOGjCmWMrE3VCz0cE2aKCPAnIAAHEJc2Ycs7uEAAAApHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5ZPC9taT48bW8+PTwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW4+MC41PC9tbj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+eDwvbWk+PC9tYXRoPhd1/ssAAAAASUVORK5CYII=)
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.
The constant term in the product (𝑥 + 3) (𝑥 + 4) is
The constant term in the product (𝑥 + 3) (𝑥 + 4) is
Write the product in standard form. (3𝑦 − 5)(3𝑦 + 5)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in standard form. (3𝑦 − 5)(3𝑦 + 5)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in standard form. (𝑥 − 4)(𝑥 + 4)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in standard form. (𝑥 − 4)(𝑥 + 4)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
The area of the rectangle is 𝑥2 + 11𝑥 + 28. Its length is x + __ and its width is __+ 4. Find the missing terms in the length and the width.
The area of the rectangle is 𝑥2 + 11𝑥 + 28. Its length is x + __ and its width is __+ 4. Find the missing terms in the length and the width.
Simplify: 12 - [13a - 4(5a -7) - 8 {2a -(20a - 3a)}]
Simplify: 12 - [13a - 4(5a -7) - 8 {2a -(20a - 3a)}]
Write the product in standard form. (2𝑥 + 5)2
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
Write the product in standard form. (2𝑥 + 5)2
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
Write the product in standard form. (𝑥 − 7)2
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
Write the product in standard form. (𝑥 − 7)2
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
(𝑥 + 9)(𝑥 + 9) =
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
(𝑥 + 9)(𝑥 + 9) =
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2