Question

24. Evaluate using suitable identities
a) 542-462
b)102*103​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Here is your answer.

Step-by-step explanation:

$a){54}^{2} - {46}^{2} \\ = {(50 + 4)}^{2} - {(50 - 4)}^{2} \\ = 4 \times 50 \times 4 \: ({(a + b)}^{2} -{(a - b)}^{2} = 4ab) \\ = 800$

$b)102 \times 103 \\ = (100 + 2) \times (100 + 3) \\ = {(100)}^{2} + (2 + 3) \times 100 + 2 \times 3 \\ = 10000 + 500 + 6 \\ = 10506$

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