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Question

Use the identity (a+b)(ab)=a2b2 to evaluate:
4.6×5.4.

A
24.84
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B
25.24
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C
24.94
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D
25.84
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Solution

The correct option is A 24.84
We are given the formula (a+b)(ab)=a2b2.

We know, 4.6×5.4=(50.4)(5+0.4),
where a=5 and b=0.4.

Now, solve as shown below:
4.6×5.4=(50.4)(5+0.4)
=520.42=250.16=24.84.

Hence, 4.6×5.4=24.84.

Therefore, option A is correct.

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