What is factor 125r^3+64b^3 ?

The solution to factor 125r^3+64b^3 is (5r+4b)(25r^2+16b^2-20br)

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factor 125r^3+64b^3

factor

125 r^{3} + 64 b^{3}

(5 r + 4 b) (25 r^{2} + 16 b^{2} - 20 b r)

Solution steps

125 r^{3} + 64 b^{3}

Apply exponent rules

= (5 r)^{3} + (4 b)^{3}

Apply Sum of Cubes Formula:

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

(5 r)^{3} + (4 b)^{3} = (5 r + 4 b) ((5 r)^{2} - 5 r \cdot 4 b + (4 b)^{2})

= (5 r + 4 b) ((5 r)^{2} - 5 r \cdot 4 b + (4 b)^{2})

Simplify

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

= (5 r + 4 b) (25 r^{2} - 20 r b + 16 b^{2})

= (5 r + 4 b) (25 r^{2} + 16 b^{2} - 20 b r)

\frac{x - y}{x + y}

4 \cdot (- 8)

3.1 4^{2}

(1 + a) (1 - a)

(x^{- 4})^{2}

What is factor 125r^3+64b^3 ?
The solution to factor 125r^3+64b^3 is (5r+4b)(25r^2+16b^2-20br)