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Popular >

factor (a-b)^3+b^3

Solution

factor

(a - b)^{3} + b^{3}

Solution

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

Solution steps

(a - b)^{3} + b^{3}

Apply Sum of Cubes Formula:

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

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

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

Refine

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

Expand

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

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

Popular Examples

9 = - 6 + u

5 x^{2} - 10 x - 1 = 0

factor 8x^2-24 factor

8 x^{2} - 24

simplify (5b^2)^3(1/2 b^3)^2 simplify

(5 b^{2})^{3} (\frac{1}{2} b^{3})^{2}

simplify (12!)/(7!5!)simplify

\frac{12 !}{7 ! 5 !}

Frequently Asked Questions (FAQ)

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