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Popular >

factor b^3-125

Solution

factor

b^{3} - 125

Solution

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

Solution steps

b^{3} - 125

Rewrite

125

as

5^{3}

= b^{3} - 5^{3}

Apply Difference of Cubes Formula:

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

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

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

5^{2} = 25

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

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Frequently Asked Questions (FAQ)

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