Question

Find the value using suitable identity.

»102 x 98​

Answer 1

$= 102 \times 98 \\ = (100 + 2) \times (100 - 2) \\ = {100}^{2} - {2}^{2} \\ = 10000 - 4 = 9996$

$Formula \: \: applied - \\ (a - b)(a + b) = {a}^{2} - {b}^{2}$

....hope it's helpful :)

Answer 2

Answer:

9996

Step-by-step explanation:

$(102 \times 98) = \\ (100 + 2)(100 - 2)$

we know that

$(x + y)(x - y) = {x}^{2} - {y}^{2}$

Hence

$(100 + 2)(100 - 2) = {100}^{2} - {2}^{2} \\ = 10000 - 4 \\ = 9996$