What is expand (6-2x-x^2)^2 ?

The solution to expand (6-2x-x^2)^2 is x^4+4x^3-8x^2-24x+36

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expand (6-2x-x^2)^2

expand

(6 - 2 x - x^{2})^{2}

x^{4} + 4 x^{3} - 8 x^{2} - 24 x + 36

Solution steps

(6 - 2 x - x^{2})^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(6 - 2 x - x^{2})^{2} = (6 - 2 x - x^{2}) (6 - 2 x - x^{2})

= (6 - 2 x - x^{2}) (6 - 2 x - x^{2})

Distribute parentheses

= 6 \cdot 6 + 6 (- 2 x) + 6 (- x^{2}) - 2 x \cdot 6 - 2 x (- 2 x) - 2 x (- x^{2}) - x^{2} \cdot 6 - x^{2} (- 2 x) - x^{2} (- x^{2})

Simplify

6 \cdot 6 + 6 (- 2 x) + 6 (- x^{2}) - 2 x \cdot 6 - 2 x (- 2 x) - 2 x (- x^{2}) - x^{2} \cdot 6 - x^{2} (- 2 x) - x^{2} (- x^{2}) : x^{4} + 4 x^{3} - 8 x^{2} - 24 x + 36

= x^{4} + 4 x^{3} - 8 x^{2} - 24 x + 36

- y^{2}

\frac{csc ( x )}{sin ( x )}

2 b^{- 7}

(- 12)^{3}

What is expand (6-2x-x^2)^2 ?
The solution to expand (6-2x-x^2)^2 is x^4+4x^3-8x^2-24x+36