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

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

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factor 64a^3-125b^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

(1.2 + x) = 0.32967033 (3.55 - x) (1.4 - x)

- 20 v = 4 v^{2} + 25

1 \geq 2 x^{2} + x

16 + 9

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