Question

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

Answer 1

Step-by-step explanation:

(x + a)(x + b) = (x + a)(x + b) = x^{2}x

2

+ (a + b)x + ab for a = 2, b = 3 and x = 4.

(4 + 2)(4 + 3) = (4)2+ ( 2 + 3 ) 4 + 2x3

6 x 7= 16 + 20+ 6

42= 42

Answer 2

Answer:

Hence, verified.

Step-by-step explanation:

Given: $(x + a)(x + b) = x^2 + (a + b)x + ab$ and a = 2, b = 3, and x = 4.

We have to verify the above identity.

We are solving in the following way:

We have,

$(x + a)(x + b) = x^2 + (a + b)x + ab$

As we know, the given values of a,b and x is a = 2, b = 3, and x = 4.

Then, we will put the given values in the above data.

$=>(4+2)(4+3)=4^2+(2+3)4+2\times3\\=>6\times7=16+(5)4+6\\=>42=16+20+6\\=>42=42$

Here, we get, LHS=RHS

Hence verified.