Find the square. Simplify your answer. (4d + 1)^2 ______

Identify binomial: Identify the binomial to be squared. The given expression is (4d + 1)^2. This is a binomial squared, which can be expanded using the formula (a + b)^2 = a^2 + 2ab + b^2.Identify values: Identify the values of a and b. In the expression (4d + 1)^2, a is 4d and b is 1.Apply formula: Apply the square of a binomial formula. Using the values of a and b, we expand (4d + 1)^2 as follows: (4d + 1)^2 = (4d)^2 + 2(4d)(1) + (1)^2Simplify expression: Simplify the expression. (4d)^2 + 2(4d)(1) + (1)^2 = 16d^2 + 8d + 1

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Find the square. Simplify your answer. $\newline$ $(4d + 1)^2$

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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

(4d + 1)^2

Identify binomial: Identify the binomial to be squared. $\newline$ The given expression is $4d + 1$ ^ $2$ . This is a binomial squared, which can be expanded using the formula $a + b$ ^ $2$ = a^ $2$ + $2$ ab + b^ $2$ .
Identify values: Identify the values of $a$ and $b$ . In the expression $(4d + 1)^2$ , $a$ is $4d$ and $b$ is $1$ .
Apply formula: Apply the square of a binomial formula. $\newline$ Using the values of $a$ and $b$ , we expand $(4d + 1)^2$ as follows: $\newline$ $(4d + 1)^2 = (4d)^2 + 2(4d)(1) + (1)^2$
Simplify expression: Simplify the expression. $\newline$ $(4d)^2 + 2(4d)(1) + (1)^2 = 16d^2 + 8d + 1$