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

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

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factor 64b^3+125a^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

lo g_{10} (1100)

(3 z - 2)^{3}

20 n^{2} - 9 n - 20

x y + x^{2} y^{2}

12 8^{2}

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