Question

factorise a^3 + b^3 + a + b​

Answer 1

Step-by-step explanation:

Hi,

Factorize , f(a,b):a3+b3+a+b

We know that

a3+b3=(a+b)(a2–ab+b2)

so we will take (a+b) as the common factor and factorize it.

f(a,b)=a3+b3+a+b

=(a+b)(a2–ab+b2)+(a+b)

=(a+b)(a2–ab+b2+1)

Thus.

f(a,b)=(a+b)(a2+b2–ab+1)