Question

Find the values of the following using identities (1) 97*103​

Answer 1

Answer:

Hey there!

Here's your answer....

=> 97x103 = 9991

Step-by-step explanation:

Question is 97x103 (as we can write 97 as 100-3 so.....)

[By using the identity (x+a)(x+b) = x² +(a+b)x +ab] we get,

(x = 100 ; a = -3 ; b = 3)

=> (100-3)(100+3) = (100)² + (-3+3)x +(-3*3)

=> (100-3)(100+3) = 10000 + 0 + (-9)

=> (100-3)(100+3) = 10000-9 = 9999

Hence your answer is = 9991

I hope it will help you

.....✿

Answer 2

Step-by-step explanation:

103 × 97

103 × 97(100 + 3)(100 – 3)

103 × 97(100 + 3)(100 – 3)100² – 3²

103 × 97(100 + 3)(100 – 3)100² – 3²10000-9

103 × 97(100 + 3)(100 – 3)100² – 3²10000-99991

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