What is factor m^{75}-125 ?

The solution to factor m^{75}-125 is (m^{25}-5)(m^{50}+5m^{25}+25)

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factor m^{75}-125

factor

m^{75} - 125

(m^{25} - 5) (m^{50} + 5 m^{25} + 25)

Solution steps

m^{75} - 125

Apply exponent rules

= (m^{25})^{3} - 5^{3}

Apply Difference of Cubes Formula:

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

(m^{25})^{3} - 5^{3} = (m^{25} - 5) (m^{50} + 5 m^{25} + 5^{2})

= (m^{25} - 5) (m^{50} + 5 m^{25} + 5^{2})

5^{2} = 25

= (m^{25} - 5) (m^{50} + 5 m^{25} + 25)

\frac{d}{d x} ((f (x, y)) e^{(x + y)})

a - b^{9}

25 m^{2 + 10}

(- \frac{7 π}{9}) - π

e^{- 4 x} - 4 x e^{- 4 x}

What is factor m^{75}-125 ?
The solution to factor m^{75}-125 is (m^{25}-5)(m^{50}+5m^{25}+25)