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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

2 \cdot 2 + 2 (- x^{2}) + 2 (- x) - x^{2} \cdot 2 - x^{2} (- x^{2}) - x^{2} (- x) - x \cdot 2 - x (- x^{2}) - x (- x) : x^{4} + 2 x^{3} - 3 x^{2} - 4 x + 4

= x^{4} + 2 x^{3} - 3 x^{2} - 4 x + 4

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Frequently Asked Questions (FAQ)

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