Question

Evaluate 107 * 93 by using identities

Answer 1

107×93=(100+7)×(100-7)
by identity: ( a+b)(a-b)=a^2-b^2
(100+7)(100-7)=(100)^2-(7)^2=10000-49=9951

Answer 2

$107 \times 93 = 9951$

Solution:

Given that,

We have to evaluate the following using identities

$107 \times 93$

Use the following identity,

$(a + b)(a - b) = a^2 - b^2$

From given,

$107 \times 93$

$107 = 100 + 7\\\\93 = 100 - 7$

Therefore,

$107 \times 93 = (100 + 7)(100 - 7)$

Use the above given identity,

$107 \times 93 = (100 + 7)(100 - 7)\\\\107 \times 93 = 100^2 - 7^2\\\\107 \times 93 = 10000 - 49 = 9951$

Thus the given is evaluated using identities

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