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

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

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

factor

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

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

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})

\frac{( a - a )}{( a - 1 )}

(a + b)^{4} + (a - b)^{4}

15 x^{2} (5 x^{3} - 6)^{5}

(x - 3) \cdot (x + 5) \cdot (x + 6)

a^{3} - 4 a^{2} + a + 6

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