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Popular >

factor y^3-64

Solution

factor

y^{3} - 64

Solution

(y - 4) (y^{2} + 4 y + 16)

Solution steps

y^{3} - 64

Rewrite

64

as

4^{3}

= y^{3} - 4^{3}

Apply Difference of Cubes Formula:

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

y^{3} - 4^{3} = (y - 4) (y^{2} + 4 y + 4^{2})

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

4^{2} = 16

= (y - 4) (y^{2} + 4 y + 16)

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10 x^{2} + 20 x - 34 = 0

Frequently Asked Questions (FAQ)

What is factor y^3-64 ?
The solution to factor y^3-64 is (y-4)(y^2+4y+16)