Question

find the suitable identify find (I) 482 (ii) 962​

Answer 1

Answer:

The answers are (1) 2304 (2) 9216

Step-by-step explanation:

The question is to find out the square of 48 and 96 respectively using the suitable identities. Therefore we use the following identity to solve this particular question.

$(a-b)^{2}$ =$a^{2} - 2ab + b^{2}$

Therefore we have,

(1) $48^{2}$ = $(50-2)^{2}$ = $50^{2} + 2^{2}$ - 2×50×2

= 2500 + 4 - 200

= 2300 + 4

= 2304 (ans)

(2) $96^{2}$ = $(100-4)^{2}$ = $100^{2} + 4^{2}$ - 2×100×4

= 10000 +16 - 800

= 9216 (ans)

Therefore the answers are 2304 and 9216 respectively.