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Popular >

expand (x^2-x-3)^2

Solution

expand

(x^{2} - x - 3)^{2}

Solution

x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 9

Solution steps

(x^{2} - x - 3)^{2}

Apply exponent rule:

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

(x^{2} - x - 3)^{2} = (x^{2} - x - 3) (x^{2} - x - 3)

= (x^{2} - x - 3) (x^{2} - x - 3)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- x) + x^{2} (- 3) - x x^{2} - x (- x) - x (- 3) - 3 x^{2} - 3 (- x) - 3 (- 3)

Simplify

x^{2} x^{2} + x^{2} (- x) + x^{2} (- 3) - x x^{2} - x (- x) - x (- 3) - 3 x^{2} - 3 (- x) - 3 (- 3) : x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 9

= x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 9

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Frequently Asked Questions (FAQ)

What is expand (x^2-x-3)^2 ?
The solution to expand (x^2-x-3)^2 is x^4-2x^3-5x^2+6x+9