What is expand 4*(x^2+20x+12)^3 ?

The solution to expand 4*(x^2+20x+12)^3 is 4x^6+240x^5+4944x^4+37760x^3+59328x^2+34560x+6912

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expand 4*(x^2+20x+12)^3

expand

4 \cdot (x^{2} + 20 x + 12)^{3}

4 x^{6} + 240 x^{5} + 4944 x^{4} + 37760 x^{3} + 59328 x^{2} + 34560 x + 6912

Solution steps

4 (x^{2} + 20 x + 12)^{3}

(x^{2} + 20 x + 12)^{3} = x^{6} + 60 x^{5} + 1236 x^{4} + 9440 x^{3} + 14832 x^{2} + 8640 x + 1728

= 4 (x^{6} + 60 x^{5} + 1236 x^{4} + 9440 x^{3} + 14832 x^{2} + 8640 x + 1728)

Distribute parentheses

= 4 x^{6} + 4 \cdot 60 x^{5} + 4 \cdot 1236 x^{4} + 4 \cdot 9440 x^{3} + 4 \cdot 14832 x^{2} + 4 \cdot 8640 x + 4 \cdot 1728

Simplify

4 x^{6} + 4 \cdot 60 x^{5} + 4 \cdot 1236 x^{4} + 4 \cdot 9440 x^{3} + 4 \cdot 14832 x^{2} + 4 \cdot 8640 x + 4 \cdot 1728 : 4 x^{6} + 240 x^{5} + 4944 x^{4} + 37760 x^{3} + 59328 x^{2} + 34560 x + 6912

= 4 x^{6} + 240 x^{5} + 4944 x^{4} + 37760 x^{3} + 59328 x^{2} + 34560 x + 6912

\frac{1}{( x - 3 ) ( x ^{3} ( y ) )}

\frac{2 x}{( 16 - x ^{2} ) ^{2}}

\frac{( n + 1 ) ( 4 n - 1 )}{( 4 n + 3 ) n}

\frac{1}{s ^{2} ( s ^{2} + 16 )}

(ln (y) = x - 2) e

What is expand 4*(x^2+20x+12)^3 ?
The solution to expand 4*(x^2+20x+12)^3 is 4x^6+240x^5+4944x^4+37760x^3+59328x^2+34560x+6912