Question

find the square. simplify your answer.
$(4r - 2)^2$

Explanation:

Step1: Recall square of difference formula

The formula for the square of a difference is $(a - b)^2 = a^2 - 2ab + b^2$. Here, $a = 4r$ and $b = 2$.

Step2: Calculate $a^2$

$a^2 = (4r)^2 = 16r^2$

Step3: Calculate $2ab$

$2ab = 2 \times 4r \times 2 = 16r$

Step4: Calculate $b^2$

$b^2 = 2^2 = 4$

Step5: Substitute into the formula

$(4r - 2)^2 = a^2 - 2ab + b^2 = 16r^2 - 16r + 4$

Answer:

$16r^2 - 16r + 4$