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

Identify values in binomial: We are asked to find the square of the binomial (4h + 2). The square of a binomial (a + b)^2 is given by the formula a^2 + 2ab + b^2. We will apply this formula to (4h + 2)^2.Apply binomial square formula: Identify the values of a and b in the binomial (4h + 2). Here, a is 4h and b is 2.Substitute values and simplify: Apply the square of a binomial formula to (4h + 2)^2: (a + b)^2 = a^2 + 2ab + b^2. Substitute a with 4h and b with 2: (4h + 2)^2 = (4h)^2 + 2*(4h)*(2) + (2)^2.Simplify each term: (4h)^2 = 16h^2, 2*(4h)*(2) = 16h, and (2)^2 = 4. So, (4h + 2)^2 = 16h^2 + 16h + 4.

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Find the square. Simplify your answer.

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(4h + 2)^2

Identify values in binomial: We are asked to find the square of the binomial $(4h + 2)$ . The square of a binomial $(a + b)^2$ is given by the formula $a^2 + 2ab + b^2$ . We will apply this formula to $(4h + 2)^2$ .
Apply binomial square formula: Identify the values of $a$ and $b$ in the binomial $(4h + 2)$ . Here, $a$ is $4h$ and $b$ is $2$ .
Substitute values and simplify: Apply the square of a binomial formula to $(4h + 2)^2$ : $(a + b)^2 = a^2 + 2ab + b^2$ . Substitute $a$ with $4h$ and $b$ with $2$ : $(4h + 2)^2 = (4h)^2 + 2\cdot(4h)\cdot(2) + (2)^2$ .
Substitute values and simplify: Apply the square of a binomial formula to $(4h + 2)^2$ : $(a + b)^2 = a^2 + 2ab + b^2$ . Substitute $a$ with $4h$ and $b$ with $2$ : $(4h + 2)^2 = (4h)^2 + 2\cdot(4h)\cdot(2) + (2)^2$ .Simplify each term: $(4h)^2 = 16h^2$ , $2\cdot(4h)\cdot(2) = 16h$ , and $(2)^2 = 4$ . So, $(a + b)^2 = a^2 + 2ab + b^2$ $0$ .