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Popular >

factor 125h^3-1

Solution

factor

125 h^{3} - 1

Solution

(5 h - 1) (25 h^{2} + 5 h + 1)

Solution steps

125 h^{3} - 1

Apply exponent rules

= (5 h)^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

(5 h)^{3} - 1^{3} = (5 h - 1) (5^{2} h^{2} + 5 h + 1)

= (5 h - 1) (5^{2} h^{2} + 5 h + 1)

5^{2} = 25

= (5 h - 1) (25 h^{2} + 5 h + 1)

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Frequently Asked Questions (FAQ)

What is factor 125h^3-1 ?
The solution to factor 125h^3-1 is (5h-1)(25h^2+5h+1)