Question

simplify:
$(4x + 3y)^2$
a. $16x^2 + 9y^2$
b. $16x^2 + 13xy + 9y^2$
c. $16x^2 + 14xy + 9y^2$
d. $16x^2 + 24xy + 9y^2$

Explanation:

Step1: Apply square of sum formula

$(a+b)^2 = a^2 + 2ab + b^2$

Step2: Substitute $a=4x$, $b=3y$

$(4x)^2 + 2(4x)(3y) + (3y)^2$

Step3: Calculate each term

$16x^2 + 24xy + 9y^2$

Answer:

D. $16x^2 + 24xy + 9y^2$