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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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