What is expand (-x-6)^2(x^2-12x+36) ?

The solution to expand (-x-6)^2(x^2-12x+36) is x^4-72x^2+1296

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expand (-x-6)^2(x^2-12x+36)

expand

(- x - 6)^{2} (x^{2} - 12 x + 36)

x^{4} - 72 x^{2} + 1296

Solution steps

(- x - 6)^{2} (x^{2} - 12 x + 36)

Expand

(- x - 6)^{2} : x^{2} + 12 x + 36

= (x^{2} + 12 x + 36) (x^{2} - 12 x + 36)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 12 x) + x^{2} \cdot 36 + 12 x x^{2} + 12 x (- 12 x) + 12 x \cdot 36 + 36 x^{2} + 36 (- 12 x) + 36 \cdot 36

Simplify

x^{2} x^{2} + x^{2} (- 12 x) + x^{2} \cdot 36 + 12 x x^{2} + 12 x (- 12 x) + 12 x \cdot 36 + 36 x^{2} + 36 (- 12 x) + 36 \cdot 36 : x^{4} - 72 x^{2} + 1296

= x^{4} - 72 x^{2} + 1296

\frac{\frac{2}{7}}{\frac{3}{5} - \frac{3}{10}}

\frac{cos ( x )}{- sin ( x )}

- 2 x^{2} + 3 x + 2

\frac{9 x ^{2} - 25 y ^{2}}{3 x ^{2} - 5 x y}

\frac{2}{3} - \frac{2}{1}

What is expand (-x-6)^2(x^2-12x+36) ?
The solution to expand (-x-6)^2(x^2-12x+36) is x^4-72x^2+1296