What is factor 125x^3+64y^3 ?

The solution to factor 125x^3+64y^3 is (5x+4y)(25x^2-20xy+16y^2)

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factor 125x^3+64y^3

factor

125 x^{3} + 64 y^{3}

(5 x + 4 y) (25 x^{2} - 20 x y + 16 y^{2})

Solution steps

125 x^{3} + 64 y^{3}

Apply exponent rules

= (5 x)^{3} + (4 y)^{3}

Apply Sum of Cubes Formula:

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

(5 x)^{3} + (4 y)^{3} = (5 x + 4 y) ((5 x)^{2} - 5 x \cdot 4 y + (4 y)^{2})

= (5 x + 4 y) ((5 x)^{2} - 5 x \cdot 4 y + (4 y)^{2})

Simplify

(5 x)^{2} - 5 x \cdot 4 y + (4 y)^{2} : 25 x^{2} - 20 x y + 16 y^{2}

= (5 x + 4 y) (25 x^{2} - 20 x y + 16 y^{2})

a (- a)^{3}

(v) \cdot (2 x^{2} + 3)^{\frac{5}{3}} \cdot (x + 5)^{\frac{- 1}{2}}

1 - \frac{\frac{3}{( x + 6 )}}{x} + \frac{9}{( x + 6 )}

(5 a^{3})^{4}

\frac{cos ^{2} ( 3 x )}{sin ( x )}

What is factor 125x^3+64y^3 ?
The solution to factor 125x^3+64y^3 is (5x+4y)(25x^2-20xy+16y^2)