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

Identify Binomial Form: We need to find the square of the binomial (2h - 2). This is in the form of (a - b)^2, which is a special case of binomial squares. Special case: (a - b)^2 = a^2 - 2ab + b^2Determine a and b: Identify the values of a and b in the binomial (2h - 2). Compare (2h - 2)^2 with (a - b)^2. a = 2h b = 2Apply Binomial Square Formula: Apply the square of a binomial formula to expand (2h - 2)^2. (a - b)^2 = a^2 - 2ab + b^2 (2h - 2)^2 = (2h)^2 - 2(2h)(2) + 2^2Simplify Expression: Simplify (2h)^2 - 2(2h)(2) + 2^2. (2h)^2 - 2(2h)(2) + 2^2 = (2h * 2h) - (2 * 2 * 2)h + 2 * 2 = 4h^2 - 8h + 4

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

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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

(2h - 2)^2

Identify Binomial Form: We need to find the square of the binomial $(2h - 2)$ . This is in the form of $(a - b)^2$ , which is a special case of binomial squares. $\newline$ Special case: $(a - b)^2 = a^2 - 2ab + b^2$
Determine $a$ and $b$ : Identify the values of $a$ and $b$ in the binomial $(2h - 2)$ . Compare $(2h - 2)^2$ with $(a - b)^2$ . $a = 2h$ $b = 2$
Apply Binomial Square Formula: Apply the square of a binomial formula to expand $(2h - 2)^2$ . $\newline$ $(a - b)^2 = a^2 - 2ab + b^2$ $\newline$ $(2h - 2)^2 = (2h)^2 - 2(2h)(2) + 2^2$
Simplify Expression: Simplify $(2h)^2 - 2(2h)(2) + 2^2.$ $(2h)^2 - 2(2h)(2) + 2^2$ $= (2h \cdot 2h) - (2 \cdot 2 \cdot 2)h + 2 \cdot 2$ $= 4h^2 - 8h + 4$