Question

Evalute the following by using suitable formula 107×93

Answer 1

$\huge \red{ \mathfrak{solution}}$

To find the value of :

107×93 by using suitable formula

we can write :

•107= 100+7

and

• 93= 100-7

=>(100+7)(100-7)

here we use the formula

✧(a+b)(a-b)= a^2-b^2

=> 100^2-7^2

=>10000-49

=>9951

HENCE the required answers is

$\green{\huge \boxed{9951} }$

Answer 2

Answer:

9951

Step-by-step explanation:

To find ---> Value of 107 × 93 by using

suitable identity

Soluion--->

We can write 107 as ( 100 + 7 ) and

We can write 93 as ( 100 - 7 )

Now returning to original problem

107 × 93 = ( 100 + 7 ) ( 100 - 7 )

We have an identity

( a + b ) ( a - b ) = ( a² - b² )

Applying it here

107 × 93 = ( 100 )² - ( 7 )²

= 10000 - 49

= 9951

Additional information--->

1) ( a + b )² = a² + b² + 2 a b

2) ( a - b )² = a² + b² - 2 a b

3) a³ + b³ = ( a + b ) ( a² + b² - ab )

4) a³ - b³ = ( a - b ) ( a² + b² + ab )

5) (a + b )³ = a³ + b³ + 3 a b ( a + b )

6) ( a - b )³ = a³ - b³ - 3 a b ( a - b )