How do you simplify -3y ( 4y + 6) ^ { 2}?

Dec 15, 2017

$- 48 {y}^{3} - 144 {y}^{2} - 108 y$

Remember GEMS or PEMDAS! (parenthesizes, exponents, division/multiplication, addition/subtraction)

Explanation:

Start with the exponent, you're going to have to use the FOIL rule.

$- 3 y \left[4 y \left(4 y + 6\right) + 6 \left(4 y + 6\right)\right]$

$- 3 y \left(16 {y}^{2} + 48 y + 36\right)$

Now, distribute the $- 3 y .$

$- 48 {y}^{3} - 144 {y}^{2} - 108 y$