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Popular >

expand (x+1)^2(x-4)

Solution

expand

(x + 1)^{2} (x - 4)

Solution

x^{3} - 2 x^{2} - 7 x - 4

Solution steps

(x + 1)^{2} (x - 4)

Expand

(x + 1)^{2} : x^{2} + 2 x + 1

= (x^{2} + 2 x + 1) (x - 4)

Distribute parentheses

= x^{2} x + x^{2} (- 4) + 2 xx + 2 x (- 4) + 1 \cdot x + 1 \cdot (- 4)

Simplify

x^{2} x + x^{2} (- 4) + 2 xx + 2 x (- 4) + 1 \cdot x + 1 \cdot (- 4) : x^{3} - 2 x^{2} - 7 x - 4

= x^{3} - 2 x^{2} - 7 x - 4

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Frequently Asked Questions (FAQ)

What is expand (x+1)^2(x-4) ?
The solution to expand (x+1)^2(x-4) is x^3-2x^2-7x-4