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

Identify values in binomial: We are asked to find the square of the binomial (4r + 3). The square of a binomial (a + b)^2 is given by the formula a^2 + 2ab + b^2. We will apply this formula to (4r + 3)^2.Apply binomial square formula: Identify the values of a and b in the binomial (4r + 3)^2. Here, a is 4r and b is 3.Expand binomial square: Apply the square of a binomial formula to expand (4r + 3)^2. (4r + 3)^2 = (4r)^2 + 2*(4r)*(3) + (3)^2Simplify terms: Simplify each term in the expansion. (4r)^2 = 16r^2 2*(4r)*(3) = 24r (3)^2 = 9Combine for final form: Combine the simplified terms to get the final expanded form. (4r + 3)^2 = 16r^2 + 24r + 9

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

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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

(4r + 3)^2

Identify values in binomial: We are asked to find the square of the binomial $(4r + 3)$ . The square of a binomial $(a + b)^2$ is given by the formula $a^2 + 2ab + b^2$ . We will apply this formula to $(4r + 3)^2$ .
Apply binomial square formula: Identify the values of $a$ and $b$ in the binomial $(4r + 3)^2$ . Here, $a$ is $4r$ and $b$ is $3$ .
Expand binomial square: Apply the square of a binomial formula to expand $(4r + 3)^2$ . $(4r + 3)^2 = (4r)^2 + 2\cdot(4r)\cdot(3) + (3)^2$
Simplify terms: Simplify each term in the expansion. $\newline$ $(4r)^2 = 16r^2$ $\newline$ $2\cdot(4r)\cdot(3) = 24r$ $\newline$ $(3)^2 = 9$
Combine for final form: Combine the simplified terms to get the final expanded form. $\newline$ $(4r + 3)^2 = 16r^2 + 24r + 9$