What is expand-2(3x-y+4)^2 ?

The solution to expand-2(3x-y+4)^2 is 12xy-18x^2-48x-2y^2+16y-32

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expand-2(3x-y+4)^2

expand

- 2 (3 x - y + 4)^{2}

12 x y - 18 x^{2} - 48 x - 2 y^{2} + 16 y - 32

Solution steps

- 2 (3 x - y + 4)^{2}

(3 x - y + 4)^{2} = - 6 x y + 9 x^{2} + 24 x + y^{2} - 8 y + 16

= - 2 (9 x^{2} + 24 x - 6 x y + y^{2} + 16 - 8 y)

Distribute parentheses

= (- 2) (- 6 x y) + (- 2) \cdot 9 x^{2} + (- 2) \cdot 24 x + (- 2) y^{2} + (- 2) (- 8 y) + (- 2) \cdot 16

Apply minus-plus rules

(- a) (- b) = ab, + (- a) = - a

= 2 \cdot 6 x y - 2 \cdot 9 x^{2} - 2 \cdot 24 x - 2 y^{2} + 2 \cdot 8 y - 2 \cdot 16

Simplify

2 \cdot 6 x y - 2 \cdot 9 x^{2} - 2 \cdot 24 x - 2 y^{2} + 2 \cdot 8 y - 2 \cdot 16 : 12 x y - 18 x^{2} - 48 x - 2 y^{2} + 16 y - 32

= 12 x y - 18 x^{2} - 48 x - 2 y^{2} + 16 y - 32

\frac{4}{( s ^{2} + s + 4 ) s}

\frac{24 x ^{3} + 36}{( 2 x + 3 ) ^{4}}

(10 e - 3 x) 3

1 - x + (x + 1) e^{- 2 x}

\frac{1}{n ( n + 1 ) e ^{n}}

What is expand-2(3x-y+4)^2 ?
The solution to expand-2(3x-y+4)^2 is 12xy-18x^2-48x-2y^2+16y-32