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Popular >

factor 125x^3-1

Solution

factor

125 x^{3} - 1

Solution

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

Solution steps

125 x^{3} - 1

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

5^{2} = 25

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

Popular Examples

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- 4 x + 15 \leq 35

simplify (2-1)/(1+i)simplify

\frac{2 - 1}{1 + i}

5 x - 2 \geq 14 - 3 x

(x+4)^3-(x-3)^3=343

(x + 4)^{3} - (x - 3)^{3} = 343

Frequently Asked Questions (FAQ)

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