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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

Simplify

x^{2} x + x^{2} \cdot 4 - 2 xx - 2 x \cdot 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+4)(x-1)^2 ?
The solution to expand (x+4)(x-1)^2 is x^3+2x^2-7x+4