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Popular >

expand (y^2-y+1)^2

Solution

expand

(y^{2} - y + 1)^{2}

Solution

y^{4} - 2 y^{3} + 3 y^{2} - 2 y + 1

Solution steps

(y^{2} - y + 1)^{2}

Apply exponent rule:

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

(y^{2} - y + 1)^{2} = (y^{2} - y + 1) (y^{2} - y + 1)

= (y^{2} - y + 1) (y^{2} - y + 1)

Distribute parentheses

= y^{2} y^{2} + y^{2} (- y) + y^{2} \cdot 1 - y y^{2} - y (- y) - y \cdot 1 + 1 \cdot y^{2} + 1 \cdot (- y) + 1 \cdot 1

Simplify

y^{2} y^{2} + y^{2} (- y) + y^{2} \cdot 1 - y y^{2} - y (- y) - y \cdot 1 + 1 \cdot y^{2} + 1 \cdot (- y) + 1 \cdot 1 : y^{4} - 2 y^{3} + 3 y^{2} - 2 y + 1

= y^{4} - 2 y^{3} + 3 y^{2} - 2 y + 1

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\frac{31}{30}

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\frac{8 ^{5}}{4 ^{5}}

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- \frac{1}{8} - \frac{1}{8}

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5 \times 3 x

Frequently Asked Questions (FAQ)

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