Find the square. Simplify your answer. (3m + 4)^2 ______

Identify values of a and b: Identify the values of a and b in the binomial (3m + 4). In the expression (3m + 4)^2, a is 3m and b is 4.Apply binomial square formula: Apply the square of a binomial formula to expand (3m + 4)^2. Using the formula (a + b)^2 = a^2 + 2ab + b^2, we get: (3m + 4)^2 = (3m)^2 + 2*(3m)*(4) + (4)^2Simplify the expression: Simplify the expression by performing the calculations. (3m)^2 = 9m^2 (since (3m)*(3m) = 9m^2) 2*(3m)*(4) = 24m (since 2*3*4 = 24) (4)^2 = 16 (since 4*4 = 16) So, (3m + 4)^2 = 9m^2 + 24m + 16Combine terms: Combine the terms to write the final simplified expression. The final simplified expression is 9m^2 + 24m + 16.

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Find the square. Simplify your answer. $\newline$ $(3m + 4)^2$

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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

(3m + 4)^2

Identify values of $a$ and $b$ : Identify the values of $a$ and $b$ in the binomial $(3m + 4)$ . In the expression $(3m + 4)^2$ , $a$ is $3m$ and $b$ is $4$ .
Apply binomial square formula: Apply the square of a binomial formula to expand $(3m + 4)^2$ . Using the formula $(a + b)^2 = a^2 + 2ab + b^2$ , we get: $(3m + 4)^2 = (3m)^2 + 2\cdot(3m)\cdot(4) + (4)^2$
Simplify the expression: Simplify the expression by performing the calculations. $\newline$ $(3m)^2 = 9m^2$ (since $(3m)*(3m) = 9m^2$ ) $\newline$ $2*(3m)*(4) = 24m$ (since $2*3*4 = 24$ ) $\newline$ $(4)^2 = 16$ (since $4*4 = 16$ ) $\newline$ So, $(3m + 4)^2 = 9m^2 + 24m + 16$
Combine terms: Combine the terms to write the final simplified expression. $\newline$ The final simplified expression is $9m^2 + 24m + 16$ .