What is expand (x-4)(x^2+4x+16) ?

The solution to expand (x-4)(x^2+4x+16) is x^3-64

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expand (x-4)(x^2+4x+16)

expand

(x - 4) (x^{2} + 4 x + 16)

x^{3} - 64

Solution steps

(x - 4) (x^{2} + 4 x + 16)

Distribute parentheses

= x x^{2} + x \cdot 4 x + x \cdot 16 - 4 x^{2} - 4 \cdot 4 x - 4 \cdot 16

Simplify

x x^{2} + x \cdot 4 x + x \cdot 16 - 4 x^{2} - 4 \cdot 4 x - 4 \cdot 16 : x^{3} - 64

= x^{3} - 64

\frac{4 x}{x ^{2}}

- 3 x - x

- 6 + 10

\frac{8 ( x + 3 ) ^{2}}{2 ( x + 3 )}

(n + 3)^{2}

What is expand (x-4)(x^2+4x+16) ?
The solution to expand (x-4)(x^2+4x+16) is x^3-64