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Popular >

factor y^4-y^3-y+1

Solution

factor

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

Solution

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

Solution steps

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

= (y^{4} - y^{3}) + (- y + 1)

Factor out

y^{3}

from

y^{4} - y^{3} : y^{3} (y - 1)

Factor out

- 1

from

- y + 1 : - (y - 1)

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

Factor out common term

(y - 1) : (y - 1) (y^{3} - 1)

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

Factor

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

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

Apply exponent rule:

aa = a^{2}

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

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

Popular Examples

18.02 \geq 5 - s

factor 8u^3+27 factor

8 u^{3} + 27

-69x^2+4000x-5120=0

- 69 x^{2} + 4000 x - 5120 = 0

3 + 4 v = 3

simplify (1/32)^{-4/5}simplify

(\frac{1}{32})^{- \frac{4}{5}}

Frequently Asked Questions (FAQ)

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