Find the product. Simplify your answer. (4t + 2)(4t - 2) ______

Identify Form: Identify the form of the expression. The expression (4t + 2)(4t - 2) is in the form of (a + b)(a - b). Special case: (a + b)(a - b) = a^2 - b^2Identify Values: Identify the values of a and b. Compare (4t + 2)(4t - 2) with (a + b)(a - b). a = 4t b = 2Apply Formula: Apply the difference of squares formula to expand (4t + 2)(4t - 2). (a + b)(a - b) = a^2 - b^2 (4t + 2)(4t - 2) = (4t)^2 - 2^2Simplify: Simplify (4t)^2 - 2^2. (4t)^2 - 2^2 = (4t * 4t) - (2 * 2) = 16t^2 - 4

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Find the product. Simplify your answer. $\newline$ $(4t + 2)(4t - 2)$

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(4t + 2)(4t - 2)

Identify Form: Identify the form of the expression. $\newline$ The expression $(4t + 2)(4t - 2)$ is in the form of $(a + b)(a - b)$ . $\newline$ Special case: $(a + b)(a - b) = a^2 - b^2$
Identify Values: Identify the values of $a$ and $b$ . Compare $(4t + 2)(4t - 2)$ with $(a + b)(a - b)$ . $a = 4t$ $b = 2$
Apply Formula: Apply the difference of squares formula to expand $(4t + 2)(4t - 2)$ . $\newline$ $(a + b)(a - b) = a^2 - b^2$ $\newline$ $(4t + 2)(4t - 2) = (4t)^2 - 2^2$
Simplify: Simplify $(4t)^2 - 2^2.$ $(4t)^2 - 2^2 = (4t \times 4t) - (2 \times 2)$ $= 16t^2 - 4$