Evaluate 213- 187 using suitable identity

EvaluateGiven expression can be written as 213× 187 = (200 + 13)× (200 – 13)We know that (a + b)(a b) = a^2 b^2⇒ (200 + 13)× (200 – 13) = 200^2 – 13^20ex0ex ...

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Standard VII

Mathematics

Product Law of Exponent

Evaluate 213×...

Question

Evaluate $213 \times 187$ using suitable identity

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Solution

Evaluate
Given expression can be written as
$213 \times 187 = (200 + 13) \times (200 - 13)$
We know that
$(a + b) (a - b) = a^{2} - b^{2}$
$\Rightarrow (200 + 13) \times (200 - 13) = 200^{2} - 13^{2} = 40000 - 169 = 39831$
Hence $213 \times 187 = 39831 .$

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Evaluate 213×187 using suitable identity

EvaluateGiven expression can be written as 213×187=(200+13)×(200–13)We know that (a+b)(a-b)=a2-b2⇒(200+13)×(200–13)=2002–132=40000–169=39831Hence 213×187=39831.

Evaluate $213 \times 187$ using suitable identity

Evaluate
Given expression can be written as
$213 \times 187 = (200 + 13) \times (200 - 13)$
We know that
$(a + b) (a - b) = a^{2} - b^{2}$
$\Rightarrow (200 + 13) \times (200 - 13) = 200^{2} - 13^{2} = 40000 - 169 = 39831$
Hence $213 \times 187 = 39831 .$