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

The solution to expand 4(x^2+3x-2)^3 is 4x^6+36x^5+84x^4-36x^3-168x^2+144x-32

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

expand

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

4 x^{6} + 36 x^{5} + 84 x^{4} - 36 x^{3} - 168 x^{2} + 144 x - 32

Solution steps

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

(x^{2} + 3 x - 2)^{3} = x^{6} + 9 x^{5} + 21 x^{4} - 9 x^{3} - 42 x^{2} + 36 x - 8

= 4 (x^{6} + 9 x^{5} + 21 x^{4} - 9 x^{3} - 42 x^{2} + 36 x - 8)

Distribute parentheses

= 4 x^{6} + 4 \cdot 9 x^{5} + 4 \cdot 21 x^{4} + 4 (- 9 x^{3}) + 4 (- 42 x^{2}) + 4 \cdot 36 x + 4 (- 8)

Apply minus-plus rules

+ (- a) = - a

= 4 x^{6} + 4 \cdot 9 x^{5} + 4 \cdot 21 x^{4} - 4 \cdot 9 x^{3} - 4 \cdot 42 x^{2} + 4 \cdot 36 x - 4 \cdot 8

Simplify

4 x^{6} + 4 \cdot 9 x^{5} + 4 \cdot 21 x^{4} - 4 \cdot 9 x^{3} - 4 \cdot 42 x^{2} + 4 \cdot 36 x - 4 \cdot 8 : 4 x^{6} + 36 x^{5} + 84 x^{4} - 36 x^{3} - 168 x^{2} + 144 x - 32

= 4 x^{6} + 36 x^{5} + 84 x^{4} - 36 x^{3} - 168 x^{2} + 144 x - 32

\frac{6 ( 2 - θ ^{3} )}{3 - 2 θ}

(a + b + c + d + 1)^{3}

(2 e^{x} - 3)^{2}

\frac{8}{( x + 4 ) ^{3}}

\frac{( x ^{3} + 2 ) ^{3}}{3}

What is expand 4(x^2+3x-2)^3 ?
The solution to expand 4(x^2+3x-2)^3 is 4x^6+36x^5+84x^4-36x^3-168x^2+144x-32