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Popular >

factor m^6-125

Solution

factor

m^{6} - 125

Solution

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

Solution steps

m^{6} - 125

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

5^{2} = 25

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

Popular Examples

limit as x approaches-infinity of e^x

x \to - \infty lim (e^{x})

simplify ((5/2))/2 simplify

\frac{( \frac{5}{2} )}{2}

simplify 1/2*2^{-2}simplify

\frac{1}{2} \cdot 2^{- 2}

5 - x = - 2

(x^2-9x+20)/x <0

\frac{x ^{2} - 9 x + 20}{x} < 0

Frequently Asked Questions (FAQ)

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