Here again, identities are useful. #160;We make use of (a+b)(a b) =a^2 #160; b^2 . #160;Taking a = 50 and b = 4 , we see that #160; ...

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Algebraic Identities

Compute 54 ...

Question

Compute $54 \times 46$

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Solution

Here again, identities are useful.
We make use of $(a + b) (a b) = a^{2} - b^{2}$ .
Taking $a = 50$ and $b = 4$ , we see that
$54 \times 46 = (50 + 4) (50 - 4) = (50)^{2} - (4)^{2} = 2500 - 16 = 2484$ .

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