What is factor 125m^3+64n^3 ?

The solution to factor 125m^3+64n^3 is (5m+4n)(25m^2-20mn+16n^2)

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factor 125m^3+64n^3

factor

125 m^{3} + 64 n^{3}

(5 m + 4 n) (25 m^{2} - 20 mn + 16 n^{2})

Solution steps

125 m^{3} + 64 n^{3}

Apply exponent rules

= (5 m)^{3} + (4 n)^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(5 m)^{2} - 5 m \cdot 4 n + (4 n)^{2} : 25 m^{2} - 20 mn + 16 n^{2}

= (5 m + 4 n) (25 m^{2} - 20 mn + 16 n^{2})

0.5 \times (\frac{- 2}{7})

a^{2} - 4 b^{2} - a - 2 b

\frac{{ ( 7 ^{m} ) ^{- 4} \cdot ( 1 4 ^{m} ) ^{3} }}{( ( 128 \cdot 7 ^{2} ) ^{m} )}

m^{3} + 6 m^{2} + 12 m + 8

75 b^{2} \cdot c^{3} + 60 b \cdot c^{6}

What is factor 125m^3+64n^3 ?
The solution to factor 125m^3+64n^3 is (5m+4n)(25m^2-20mn+16n^2)