Find the square. Simplify your answer. (2g + 2)^2 ______

Identify binomial and formula: Identify the binomial to be squared and the special case formula to use. The binomial to be squared is (2g + 2), and it is in the form of (a + b)^2. Special case: (a + b)^2 = a^2 + 2ab + b^2Identify values of a and b: Identify the values of a and b in the binomial (2g + 2). Comparing (2g + 2) with (a + b), we find that a = 2g and b = 2.Apply binomial square formula: Apply the square of a binomial formula to expand (2g + 2)^2. Using the formula (a + b)^2 = a^2 + 2ab + b^2, we get: (2g + 2)^2 = (2g)^2 + 2(2g)(2) + (2)^2Simplify expression: Simplify the expression (2g)^2 + 2(2g)(2) + (2)^2. (2g)^2 + 2(2g)(2) + (2)^2 = (2g * 2g) + (2 * 2 * 2)g + (2 * 2) = 4g^2 + 8g + 4

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Find the square. Simplify your answer. $\newline$ $(2g + 2)^2$

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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

(2g + 2)^2

Identify binomial and formula: Identify the binomial to be squared and the special case formula to use. $\newline$ The binomial to be squared is $(2g + 2)$ , and it is in the form of $(a + b)^2$ . $\newline$ Special case: $(a + b)^2 = a^2 + 2ab + b^2$
Identify values of $a$ and $b$ : Identify the values of $a$ and $b$ in the binomial $(2g + 2)$ . Comparing $(2g + 2)$ with $(a + b)$ , we find that $a = 2g$ and $b = 2$ .
Apply binomial square formula: Apply the square of a binomial formula to expand $(2g + 2)^2$ . Using the formula $(a + b)^2 = a^2 + 2ab + b^2$ , we get: $(2g + 2)^2 = (2g)^2 + 2(2g)(2) + (2)^2$
Simplify expression: Simplify the expression $(2g)^2 + 2(2g)(2) + (2)^2.$ $(2g)^2 + 2(2g)(2) + (2)^2 = (2g \times 2g) + (2 \times 2 \times 2)g + (2 \times 2)$ $= 4g^2 + 8g + 4$