Question

Verify (x + a ) ( x + b) = x² + ( a + b) x + ab​

Answer 1

QUESTION:

Verify the identity (x + a)( x + b) = x2 + (a + b)x + ab for a = 2, b = 3 and x = 4

ANSWER:

We have ,

• (x + a) (x + b) = x2 + (a + b)x + ab

Putting a = 2, b =3 and x = 4, we have

• LHS

= (x + a) (x + b)

= (4 + 2) (4 +3)

= 6 x 7

= 42

• RHS

= x2 + (a + b)x + ab

= (4)2 + ( 2 +3)x + (2) x (3)

= 16 + 5 x 4 + 6

= 16 +26

= 42

i.e. LHS = RHS

Thus, the given identity is true for the given values.