What is expand 3(8x^3-6x^2+2x-7)^2 ?

The solution to expand 3(8x^3-6x^2+2x-7)^2 is 192x^6-288x^5+204x^4-408x^3+264x^2-84x+147

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expand 3(8x^3-6x^2+2x-7)^2

expand

3 (8 x^{3} - 6 x^{2} + 2 x - 7)^{2}

192 x^{6} - 288 x^{5} + 204 x^{4} - 408 x^{3} + 264 x^{2} - 84 x + 147

Solution steps

3 (8 x^{3} - 6 x^{2} + 2 x - 7)^{2}

(8 x^{3} - 6 x^{2} + 2 x - 7)^{2} = 64 x^{6} - 96 x^{5} + 68 x^{4} - 136 x^{3} + 88 x^{2} - 28 x + 49

= 3 (64 x^{6} - 96 x^{5} + 68 x^{4} - 136 x^{3} + 88 x^{2} - 28 x + 49)

Distribute parentheses

= 3 \cdot 64 x^{6} + 3 (- 96 x^{5}) + 3 \cdot 68 x^{4} + 3 (- 136 x^{3}) + 3 \cdot 88 x^{2} + 3 (- 28 x) + 3 \cdot 49

Apply minus-plus rules

+ (- a) = - a

= 3 \cdot 64 x^{6} - 3 \cdot 96 x^{5} + 3 \cdot 68 x^{4} - 3 \cdot 136 x^{3} + 3 \cdot 88 x^{2} - 3 \cdot 28 x + 3 \cdot 49

Simplify

3 \cdot 64 x^{6} - 3 \cdot 96 x^{5} + 3 \cdot 68 x^{4} - 3 \cdot 136 x^{3} + 3 \cdot 88 x^{2} - 3 \cdot 28 x + 3 \cdot 49 : 192 x^{6} - 288 x^{5} + 204 x^{4} - 408 x^{3} + 264 x^{2} - 84 x + 147

= 192 x^{6} - 288 x^{5} + 204 x^{4} - 408 x^{3} + 264 x^{2} - 84 x + 147

\frac{( y + x ) z}{x y}

\frac{1}{2 ( 2 x ^{2} + 5 )}

2 (x - 1 = 3 x + 4)

\frac{( x + h + 1 )}{( x + h ) ^{2} + 1}

(3200 x - 0.6 x^{2}) d x

What is expand 3(8x^3-6x^2+2x-7)^2 ?
The solution to expand 3(8x^3-6x^2+2x-7)^2 is 192x^6-288x^5+204x^4-408x^3+264x^2-84x+147