What is factor t^6-m^9 ?

The solution to factor t^6-m^9 is (t^2-m^3)(t^4+t^2m^3+m^6)

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factor t^6-m^9

factor

t^{6} - m^{9}

(t^{2} - m^{3}) (t^{4} + t^{2} m^{3} + m^{6})

Solution steps

t^{6} - m^{9}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

(t^{2})^{3} - (m^{3})^{3} = (t^{2} - m^{3}) ((t^{2})^{2} + t^{2} m^{3} + (m^{3})^{2})

= (t^{2} - m^{3}) ((t^{2})^{2} + t^{2} m^{3} + (m^{3})^{2})

Simplify

(t^{2})^{2} + t^{2} m^{3} + (m^{3})^{2} : t^{4} + t^{2} m^{3} + m^{6}

= (t^{2} - m^{3}) (t^{4} + t^{2} m^{3} + m^{6})

(z^{1})^{2}

\frac{x ^{2} - 9 x + 18}{x ^{2} - x - 30}

6 \cdot 26

\frac{5}{9} + \frac{5}{6}

- 94

What is factor t^6-m^9 ?
The solution to factor t^6-m^9 is (t^2-m^3)(t^4+t^2m^3+m^6)