Question

a^3-b^3-a+b factorize

Answer 1

Hey mate here is your answer.

✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡

Step-by-step explanation:

__________________________________

We know the identity a^3-b^3=(a-b)(a^2+b^2+ab),

Using the above identity, the equation a^3-b^3-a+b can be factorised as follows:

⇒a^3-b^3-a+b,

⇒(a^3-b^3)-(a-b),

⇒{(a-b)[a^2+b^2+a*b]}-(a-b),

⇒[(a-b)(a^2+b^2+ab)]-(a-b),

⇒(a-b)(a^2+b^2+ab-1),

Hence,a^3-b^3-a+b is (a-b)(a^2+b^2+ab-1).✔✔✔✔✔

__________________________________

Hope it helps you.