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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

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

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

Popular Examples

simplify (5x+3)^3+(x-5)^3 simplify

(5 x + 3)^{3} + (x - 5)^{3}

simplify 3/(\sqrt[3]{7)}simplify

72 \div 12

- 28 \div 7

factor 3x^2-13x+10 factor

3 x^{2} - 13 x + 10

Frequently Asked Questions (FAQ)

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