Find the square. Simplify your answer. (x + 3)^2 ______

Identify Special Case: Identify the special case that applies here. (x + 3)^2 is in the form of (a + b)^2. Special case: (a + b)^2 = a^2 + 2ab + b^2Identify a and b: Identify the values of a and b. Compare (x + 3)^2 with (a + b)^2. a = x b = 3Apply Binomial Formula: Apply the square of a binomial formula to expand (x + 3)^2. (a + b)^2 = a^2 + 2ab + b^2 (x + 3)^2 = x^2 + 2(x)(3) + 3^2Simplify Expression: Simplify x^2 + 2(x)(3) + 3^2. x^2 + 2(x)(3) + 3^2 = x^2 + (2 * 3)x + 3 * 3 = x^2 + 6x + 9

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Find the square. Simplify your answer. $\newline$ $(x + 3)^2$

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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

(x + 3)^2

Identify Special Case: Identify the special case that applies here. $\newline$ $(x + 3)^2$ is in the form of $(a + b)^2$ . $\newline$ Special case: $(a + b)^2 = a^2 + 2ab + b^2$
Identify $a$ and $b$ : Identify the values of $a$ and $b$ . Compare $(x + 3)^2$ with $(a + b)^2$ . $a = x$ $b = 3$
Apply Binomial Formula: Apply the square of a binomial formula to expand $(x + 3)^2$ . $\newline$ $(a + b)^2 = a^2 + 2ab + b^2$ $\newline$ $(x + 3)^2 = x^2 + 2(x)(3) + 3^2$
Simplify Expression: Simplify $x^2 + 2(x)(3) + 3^2$ .
$x^2 + 2(x)(3) + 3^2$
= $x^2 + (2 \times 3)x + 3 \times 3$
= $x^2 + 6x + 9$