What is expand-2(-4x^2+6x+5)^3 ?

The solution to expand-2(-4x^2+6x+5)^3 is 128x^6-576x^5+384x^4+1008x^3-480x^2-900x-250

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expand-2(-4x^2+6x+5)^3

expand

- 2 (- 4 x^{2} + 6 x + 5)^{3}

128 x^{6} - 576 x^{5} + 384 x^{4} + 1008 x^{3} - 480 x^{2} - 900 x - 250

Solution steps

- 2 (- 4 x^{2} + 6 x + 5)^{3}

(- 4 x^{2} + 6 x + 5)^{3} = - 64 x^{6} + 288 x^{5} - 192 x^{4} - 504 x^{3} + 240 x^{2} + 450 x + 125

= - 2 (- 64 x^{6} + 288 x^{5} - 192 x^{4} - 504 x^{3} + 240 x^{2} + 450 x + 125)

Distribute parentheses

= (- 2) (- 64 x^{6}) + (- 2) \cdot 288 x^{5} + (- 2) (- 192 x^{4}) + (- 2) (- 504 x^{3}) + (- 2) \cdot 240 x^{2} + (- 2) \cdot 450 x + (- 2) \cdot 125

Apply minus-plus rules

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

= 2 \cdot 64 x^{6} - 2 \cdot 288 x^{5} + 2 \cdot 192 x^{4} + 2 \cdot 504 x^{3} - 2 \cdot 240 x^{2} - 2 \cdot 450 x - 2 \cdot 125

Simplify

2 \cdot 64 x^{6} - 2 \cdot 288 x^{5} + 2 \cdot 192 x^{4} + 2 \cdot 504 x^{3} - 2 \cdot 240 x^{2} - 2 \cdot 450 x - 2 \cdot 125 : 128 x^{6} - 576 x^{5} + 384 x^{4} + 1008 x^{3} - 480 x^{2} - 900 x - 250

= 128 x^{6} - 576 x^{5} + 384 x^{4} + 1008 x^{3} - 480 x^{2} - 900 x - 250

\frac{x}{( x - 2 ) ^{2} ( x - 4 )}

3 (lo g_{3} (x) + lo g_{x} (3) = 10)

x os (t - π)

\frac{2}{( s + 1 ) \cdot ( s - 3 )}

3 0^{2} x^{0.5522}

What is expand-2(-4x^2+6x+5)^3 ?
The solution to expand-2(-4x^2+6x+5)^3 is 128x^6-576x^5+384x^4+1008x^3-480x^2-900x-250