Question

evaluate using a suitable identity :95 multiply 97

Answer 1

$<b>HELLO MATE!$

95 × 97

we can rewrite it as ;

(100 - 5)(100 - 3)

Using identity :

(x - a)(x - b) = x² - ax - bx + ab

where, x = 100 , a = 5 and b = 3

=> (100)² - 5 × 100 - 3 × 100 + 5 × 3

=> 10000 - 500 - 300 + 15

=> 10000 - 800 + 15

=> 9200 + 15

=> 9215.

Thanks for the question!

Answer 2

$\huge{\pink{\bold{\underline{HELLO MATE!}}}}$

$<b>Solution:$

95 × 97

It can be rewritten as:-

(100 - 5)(100 - 3)

Using identity :

(x - a)(x - b) = x² - ax - bx + ab

where, x = 100 , a = 5 and b = 3

=> (100)² - 5 × 100 - 3 × 100 + 5 × 3

=> 10000 - 500 - 300 + 15

=> 10000 - 800 + 15

=> 9200 + 15

=> 9215.

Hence, the answer is $\bold{\underline{\pink{9215}}}$

Thanks for the question!!