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Popular >

expand (x^2-4x-8)^2

Solution

expand

(x^{2} - 4 x - 8)^{2}

Solution

x^{4} - 8 x^{3} + 64 x + 64

Solution steps

(x^{2} - 4 x - 8)^{2}

Apply exponent rule:

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

(x^{2} - 4 x - 8)^{2} = (x^{2} - 4 x - 8) (x^{2} - 4 x - 8)

= (x^{2} - 4 x - 8) (x^{2} - 4 x - 8)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 4 x) + x^{2} (- 8) - 4 x x^{2} - 4 x (- 4 x) - 4 x (- 8) - 8 x^{2} - 8 (- 4 x) - 8 (- 8)

Simplify

x^{2} x^{2} + x^{2} (- 4 x) + x^{2} (- 8) - 4 x x^{2} - 4 x (- 4 x) - 4 x (- 8) - 8 x^{2} - 8 (- 4 x) - 8 (- 8) : x^{4} - 8 x^{3} + 64 x + 64

= x^{4} - 8 x^{3} + 64 x + 64

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Frequently Asked Questions (FAQ)

What is expand (x^2-4x-8)^2 ?
The solution to expand (x^2-4x-8)^2 is x^4-8x^3+64x+64