Find the square. Simplify your answer. (4w - 4)^2 ______

Identify values of a and b: Identify the values of a and b. In the expression (4w - 4)^2, a is 4w and b is 4.Apply binomial formula: Apply the square of a binomial formula. Using the formula (a - b)^2 = a^2 - 2ab + b^2, we substitute a with 4w and b with 4 to expand (4w - 4)^2. (4w - 4)^2 = (4w)^2 - 2(4w)(4) + (4)^2Simplify the expression: Simplify the expression. Now we calculate each term: (4w)^2 = 16w^2 (since 4w * 4w = 16w^2) 2(4w)(4) = 32w (since 2 * 4w * 4 = 32w) (4)^2 = 16 (since 4 * 4 = 16) So, (4w - 4)^2 = 16w^2 - 32w + 16

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Find the square. Simplify your answer. $\newline$ $(4w - 4)^2$

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Find the square. Simplify your answer.

\newline

(4w - 4)^2

Identify values of a and b: Identify the values of a and b. In the expression $(4w - 4)^2$ , $a$ is $4w$ and $b$ is $4$ .
Apply binomial formula: Apply the square of a binomial formula. $\newline$ Using the formula $(a - b)^2 = a^2 - 2ab + b^2$ , we substitute $a$ with $4w$ and $b$ with $4$ to expand $(4w - 4)^2$ . $\newline$ $(4w - 4)^2 = (4w)^2 - 2(4w)(4) + (4)^2$
Simplify the expression: Simplify the expression. $\newline$ Now we calculate each term: $\newline$ $(4w)^2 = 16w^2$ (since $4w \times 4w = 16w^2$ ) $\newline$ $2(4w)(4) = 32w$ (since $2 \times 4w \times 4 = 32w$ ) $\newline$ $(4)^2 = 16$ (since $4 \times 4 = 16$ ) $\newline$ So, $(4w - 4)^2 = 16w^2 - 32w + 16$