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Popular >

factor y^3+y^2-y-1

Solution

factor

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

Solution

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

Solution steps

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

= (y^{3} + y^{2}) + (- y - 1)

Factor out

y^{2}

from

y^{3} + y^{2} : y^{2} (y + 1)

Factor out

- 1

from

- y - 1 : - (y + 1)

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

Factor out common term

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

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

Factor

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

= (y + 1) (y + 1) (y - 1)

Apply exponent rule:

aa = a^{2}

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

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

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Frequently Asked Questions (FAQ)

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