Question

evaluate by using suitable identification a) 105×95 b)102×108
guys please answer my question please dont give wrong answer if u are satified with your answer then answer me. i m searching for right one​

Answer 1

Answer:

a) 9975

b) 11016

Step-by-step explanation:

a) identity used: (a+b)(a-b) = a^2 - b^2

(100+5)(100-5)

100^2 - 5^2

10000 - 25

9975

b)  identity used: (a+b)(a-b) = a^2 - b^2

(105-3)(105+3)

105^2 - 3^2

11025 - 9

11016

Answer 2

Answer:

a) 9975

b) 11016

Step-by-step explanation:

a) 105 × 95

=> ( 100 + 5 ) × ( 100 - 5 )

Using the identity:

( a + b ) × ( a - b ) = a² - b²

=> 100² - 5²

=> 10000 - 25

=> 9975

b) 102 × 108

=> ( 100 + 2 ) × ( 100 + 8 )

Using the identity:

( x + a ) × ( x + b ) = x² + ( a + b )x + ab

=> 100² + ( 2 + 8 )100 + ( 2 × 8 )

=> 10000 + (10)100 + 16

=> 10000 + 1000 + 16

=> 11016

$:)$ Hope this helps. Mark as brainliest if you are satisfied.