Solve 27m^(6)-64n^(9)

Evaluate

27 m^{6} - 64 n^{9}

Rewrite the expression in exponential form

(3 m^{2})^{3} - (4 n^{3})^{3}

Use a^{3} - b^{3} = (a - b) (a^{2} + ab + b^{2}) to factor the expression

(3 m^{2} - 4 n^{3}) ((3 m^{2})^{2} + 3 m^{2} \times 4 n^{3} + (4 n^{3})^{2})

Evaluate

More Steps

(3 m^{2} - 4 n^{3}) (9 m^{4} + 3 m^{2} \times 4 n^{3} + (4 n^{3})^{2})

Multiply the numbers

(3 m^{2} - 4 n^{3}) (9 m^{4} + 12 m^{2} n^{3} + (4 n^{3})^{2})

Solution

More Steps

(3 m^{2} - 4 n^{3}) (9 m^{4} + 12 m^{2} n^{3} + 16 n^{6})

Factor the expression