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Popular >

factor y^3-8

Solution

factor

y^{3} - 8

Solution

(y - 2) (y^{2} + 2 y + 4)

Solution steps

y^{3} - 8

Rewrite

8

as

2^{3}

= y^{3} - 2^{3}

Apply Difference of Cubes Formula:

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

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

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

2^{2} = 4

= (y - 2) (y^{2} + 2 y + 4)

Popular Examples

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\frac{3}{4} - \frac{2}{9}

u^{2} - 16 u + 64 = 49

6 x^{2} - x + 8 = 0

factor 4x^3-2x^2-12x factor

4 x^{3} - 2 x^{2} - 12 x

Frequently Asked Questions (FAQ)

What is factor y^3-8 ?
The solution to factor y^3-8 is (y-2)(y^2+2y+4)