Question

Find the following product using the identify:(x+a)(x+b)=x²+(a+b)x+ab. 1)(x+2)(x+3)​

Answer 1

Answer:

= x² + 5x + 6

Step-by-step explanation:

(x+2)(x+3)

(x+a)(x+b) = x² + (a+b)x +ab

x² + (2 + 3) × x + 2×3

= x² + 5x + 6

Hope this helped u.

Answer 2

Question :

Find the following product using the identify : (x+a)(x+b) = x²+(a+b)x+ab

1) (x+2)(x+3)​

Answer :

x² + 5x + 6

Given :

identity : (x+a)(x+b)=x²+(a+b)x+ab

To find :

the product of (x+2) and (x+3)

Solution :

  Given identity,

   $\boxed{\bf (x+a)(x+b) = x^2+(a+b)x+ab}$

To find the product of :

  (x+2) (x+3)

comparing it with the LHS of the given identity,

      x = x

      a = 2

      b = 3

Substituting the values,

(x + 2) (x + 3)

           = x² + (2+3)x + (2)(3)

           = x² + 5x + 6

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Now, proving

(x+a)(x+b) = x²+(a+b)x+ab

  (x+a)(x+b)

      = x(x+b) + a(x+b)

      = x² + xb + ax + ab

      = x² + (a+b)x + ab

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