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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 Sum 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

simplify (x^4)^2*x^{-3}simplify

(x^{4})^{2} \cdot x^{- 3}

factor 9x^2+36xy+36y^2 factor

9 x^{2} + 36 x y + 36 y^{2}

factor 50x^3y^2-98xy^4 factor

50 x^{3} y^{2} - 98 x y^{4}

factor 30a*b^2-5a*b^4+60a^3*b^2 factor

30 a \cdot b^{2} - 5 a \cdot b^{4} + 60 a^{3} \cdot b^{2}

simplify 5^5*5^p*5^{2q}simplify

5^{5} \cdot 5^{p} \cdot 5^{2 q}

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)