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Popular >

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

Solution

expand

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

Solution

x^{3} + 4 x^{2} + 5 x + 2

Solution steps

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

Expand

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

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

Distribute parentheses

= x^{2} x + x^{2} \cdot 2 + 2 xx + 2 x \cdot 2 + 1 \cdot x + 1 \cdot 2

Simplify

x^{2} x + x^{2} \cdot 2 + 2 xx + 2 x \cdot 2 + 1 \cdot x + 1 \cdot 2 : x^{3} + 4 x^{2} + 5 x + 2

= x^{3} + 4 x^{2} + 5 x + 2

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Frequently Asked Questions (FAQ)

What is expand (x+1)^2(x+2) ?
The solution to expand (x+1)^2(x+2) is x^3+4x^2+5x+2