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Popular >

factor p^3-125

Solution

factor

p^{3} - 125

Solution

(p - 5) (p^{2} + 5 p + 25)

Solution steps

p^{3} - 125

Rewrite

125

as

5^{3}

= p^{3} - 5^{3}

Apply Difference of Cubes Formula:

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

p^{3} - 5^{3} = (p - 5) (p^{2} + 5 p + 5^{2})

= (p - 5) (p^{2} + 5 p + 5^{2})

5^{2} = 25

= (p - 5) (p^{2} + 5 p + 25)

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Frequently Asked Questions (FAQ)

What is factor p^3-125 ?
The solution to factor p^3-125 is (p-5)(p^2+5p+25)