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

Identify binomial: Identify the binomial to be squared. The given expression is (2j + 1)^2, which is a binomial in the form of (a + b)^2.Apply formula: Apply the square of a binomial formula. The formula for the square of a binomial (a + b)^2 is a^2 + 2ab + b^2. We will use this to expand (2j + 1)^2.Identify values: Identify the values of a and b. In the expression (2j + 1)^2, a is 2j and b is 1.Substitute values: Substitute the values of a and b into the formula. (2j + 1)^2 = (2j)^2 + 2*(2j)*1 + 1^2Simplify expression: Simplify the expression. (2j)^2 + 2*(2j)*1 + 1^2 = 4j^2 + 4j + 1

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

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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

(2j + 1)^2

Identify binomial: Identify the binomial to be squared. $\newline$ The given expression is $(2j + 1)^2$ , which is a binomial in the form of $(a + b)^2$ .
Apply formula: Apply the square of a binomial formula. $\newline$ The formula for the square of a binomial $(a + b)^2$ is $a^2 + 2ab + b^2$ . We will use this to expand $(2j + 1)^2$ .
Identify values: Identify the values of $a$ and $b$ . In the expression $(2j + 1)^2$ , $a$ is $2j$ and $b$ is $1$ .
Substitute values: Substitute the values of $a$ and $b$ into the formula. $(2j + 1)^2 = (2j)^2 + 2\cdot(2j)\cdot1 + 1^2$
Simplify expression: Simplify the expression. $\newline$ $(2j)^2 + 2\cdot(2j)\cdot 1 + 1^2 = 4j^2 + 4j + 1$