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Popular >

factor x^6-125

Solution

factor

x^{6} - 125

Solution

(x^{2} - 5) (x^{4} + 5 x^{2} + 25)

Solution steps

x^{6} - 125

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

(x^{2})^{3} - 5^{3} = (x^{2} - 5) (x^{4} + 5 x^{2} + 5^{2})

= (x^{2} - 5) (x^{4} + 5 x^{2} + 5^{2})

5^{2} = 25

= (x^{2} - 5) (x^{4} + 5 x^{2} + 25)

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Frequently Asked Questions (FAQ)

What is factor x^6-125 ?
The solution to factor x^6-125 is (x^2-5)(x^4+5x^2+25)