What is factor a^3+a^2b-ab^2-b^3 ?

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

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factor a^3+a^2b-ab^2-b^3

factor

a^{3} + a^{2} b - a b^{2} - b^{3}

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

Solution steps

a^{3} + a^{2} b - a b^{2} - b^{3}

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

Factor out

a^{2}

from

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

Factor out

- b^{2}

from

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

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

Factor out common term

a + b

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

Factor

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

= (a + b) (a + b) (a - b)

Apply exponent rule:

aa = a^{2}

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

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

9 - 12 i

\frac{2 x}{3} = \frac{5 x}{12} - 2

2 x + 1 \leq x - 2

12 x^{2} - 30 x + 12

(\frac{x - 1}{2 x})^{2}

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