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Popular >

factor p^3-64

Solution

factor

p^{3} - 64

Solution

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

Solution steps

p^{3} - 64

Rewrite

64

as

4^{3}

= p^{3} - 4^{3}

Apply Difference of Cubes Formula:

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

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

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

4^{2} = 16

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

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Frequently Asked Questions (FAQ)

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