Question

(x+a)(X+b)= x2+(a+b)x+ab
verify it ​

Answer 1

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.

Answer 2

Answer:

( X+ a ) ( X+ b ) = X² + ( a + b ) X + ab

By multiplying

X( X+ b) + a ( X + b)

X² + Xb + aX + ab

X² ( a + b) X + ab ( By taking X as common )

X² + ( a + b ) X + ab = X² + ( a + b ) X + ab

Hence, Verified.

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