Expand. If necessary, combine like terms. (3x+8)^(2)=

Recognize the pattern: Recognize the pattern. The expression (3x+8)^(2) is a square of a binomial. Special case: (a + b)^2 = a^2 + 2ab + b^2Identify the values: Identify the values of a and b. In the expression (3x+8)^(2), compare it with (a + b)^2 to find: a = 3x b = 8Apply the formula: Apply the square of a binomial formula. Using the formula (a + b)^2 = a^2 + 2ab + b^2, we expand (3x+8)^(2) as follows: (3x+8)^(2) = (3x)^2 + 2*(3x)*(8) + (8)^2Perform the calculations: Perform the calculations. (3x)^2 + 2*(3x)*(8) + (8)^2 = 9x^2 + 2*3x*8 + 64 = 9x^2 + 48x + 64

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Expand. If necessary, combine like terms.

(3x+8)^(2)=

Expand. If necessary, combine like terms. $\newline$ $(3x+8)^2=$

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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

(3x+8)^2=

Recognize the pattern: Recognize the pattern. $\newline$ The expression $(3x+8)^{2}$ is a square of a binomial. $\newline$ Special case: $(a + b)^2 = a^2 + 2ab + b^2$
Identify the values: Identify the values of $a$ and $b$ . $\newline$ In the expression $(3x+8)^{2}$ , compare it with $(a + b)^2$ to find: $\newline$ $a = 3x$ $\newline$ $b = 8$
Apply the formula: Apply the square of a binomial formula. $\newline$ Using the formula $(a + b)^2 = a^2 + 2ab + b^2$ , we expand $(3x+8)^{2}$ as follows: $\newline$ $(3x+8)^{2} = (3x)^2 + 2\cdot(3x)\cdot(8) + (8)^2$
Perform the calculations: Perform the calculations. $\newline$ $(3x)^2 + 2 \cdot (3x) \cdot (8) + (8)^2$ $\newline$ = $9x^2 + 2 \cdot 3x \cdot 8 + 64$ $\newline$ = $9x^2 + 48x + 64$