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

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

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factor 64a^3-b^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

(4 a)^{3} - b^{3} = (4 a - b) ((4 a)^{2} + 4 ab + b^{2})

= (4 a - b) ((4 a)^{2} + 4 ab + b^{2})

Simplify

(4 a)^{2} + 4 ab + b^{2} : 16 a^{2} + 4 ab + b^{2}

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

2 x + (- 6) + x

\frac{( - 9 d ^{4} - 33 d ^{3} + 27 d ^{2} )}{( 3 d ^{4} )}

8 x + 16 y + 52

2 x^{4} - 7 x^{3} + 3 x^{2}

3 x \cdot 2 y

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