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

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Answer 1 · 2017-12-15T04:47:15

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

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

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

$- 3 y [4 y (4 y + 6) + 6 (4 y + 6)]$ $-3y[4y(4y+6)+6(4y+6)]$

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

Now, distribute the $- 3 y .$ $-3y.$

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

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