Question

factorise:(x+y)^2+10(x+y)+24​

Answer 1

To Factorise:

(x + y)² + 10(x + y) + 24

Let,

• (x + y) = a

Thus,

a² + 10a + 24

= a² + (6 + 4)a + 24

[Splitting the mid-term; 24 = 6•4; 10 = 6 + 4.]

= a² + 6a + 4a + 24

= a(a + 6) + 4(a + 6)

= (a + 4)(a + 6)

Putting the value of (a):-

[a + 4][a + 6]

= [(x + y) + 4][(x + y) + 6]

= (x + y + 4)(x + y + 6)