Question

Using a suitable identity, evaluate107 × 113.

Answer 1

Answer:

(107 X 113 )

IDENTITY USED :

( X+A ) ( X+B )= X^2+ ( A+B)X+AB

HERE,

(107 X 113)

=(100 +7 ) (100+13)

= 100^2 + ( 7+13 ) 100 + 7 X 13

=10000 + 20 X 100 + 91

=10000 +2000+91

=12091

Step-by-step explanation:

Answer 2

• As per the data given in the question, we have to determine the value of the given expression.

        Given data:- $107\times113.$

        To find:- value of expression.

• Here, we will use below algebraic identities.
• $(x+a)(x+b)=x^{2}+(a+b)x+ab.$

        Therefore,

         $=107\times113\\=(100+7)(100+13)\\=100^{2}+(7+13)100+7\times13\\=100^{2}+2000+91\\=10000+2091\\=12091.$

       Hence, the value will be $12091.$