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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 Sum 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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Frequently Asked Questions (FAQ)

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