Let us factorise the following algebraic expressions:
x(x² – 1) (x + 2) – 8

Question

Let us factorise the following algebraic expressions:(a + b)2 – 5a – 5b – 6

Philoid · Accepted Answer

The given expression can be rewritten as:

(a + b)² – 5(a + b) + 6

Assume (a + b) = p,

⇒ p² – 5p+ 6

⇒ p² – 2p - 3p + 6

⇒ p(p - 2) -3(p - 2)

⇒ (p – 3)(p – 2)

On substituting the value of p, we get,

(a +b - 3)(a + b – 2)

Let us factorise the following algebraic expressions:
(a + b)² – 5a – 5b – 6