Expand. If necessary, combine like terms. (x+7)^(2)=

Identify special case: Identify the special case that applies to this problem. The expression (x+7)^2 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. Compare (x+7)^2 with (a + b)^2. a = x b = 7Apply binomial formula: Apply the square of a binomial formula to expand (x+7)^2. (a + b)^2 = a^2 + 2ab + b^2 (x + 7)^2 = x^2 + 2(x)(7) + 7^2Simplify the expression: Simplify the expression x^2 + 2(x)(7) + 7^2. x^2 + 2(x)(7) + 7^2 = x^2 + (2 * 7)x + 49 = x^2 + 14x + 49

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Expand. If necessary, combine like terms.

(x+7)^(2)=

Expand. If necessary, combine like terms. $\newline$ $(x+7)^2=$

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Expand. If necessary, combine like terms.

\newline

(x+7)^2=

Identify special case: Identify the special case that applies to this problem. $\newline$ The expression $(x+7)^2$ 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 $b$ . $\newline$ Compare $(x+7)^2$ with $(a + b)^2$ . $\newline$ $a = x$ $\newline$ $b = 7$
Apply binomial formula: Apply the square of a binomial formula to expand $(x+7)^2$ . $\newline$ $(a + b)^2 = a^2 + 2ab + b^2$ $\newline$ $(x + 7)^2 = x^2 + 2(x)(7) + 7^2$
Simplify the expression: Simplify the expression $x^2 + 2(x)(7) + 7^2$ . $\newline$ $x^2 + 2(x)(7) + 7^2$ $\newline$ = $x^2 + (2 \cdot 7)x + 49$ $\newline$ = $x^2 + 14x + 49$