Evaluate 103 - 97 by using identities

Given expression103 × 97 = (100 + 3)(100 3)We know that (a + b)(a b) = a^2 b^2Using it⇒ (100 + 3)(100 3) = 100^2 3^2 = 10000 9 = 9991Hence the res ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Expansion of (x^2 - y^2)

Evaluate 103 ...

Question

Evaluate $103 \times 97$ by using identities

Open in App

Solution

Given expression
$103 \times 97 = (100 + 3) (100 - 3)$
We know that
$(a + b) (a - b) = a^{2} - b^{2}$
Using it
$\Rightarrow (100 + 3) (100 - 3) = 100^{2} - 3^{2} = 10000 - 9 = 9991$
Hence the result is $9991$

Suggest Corrections

Similar questions

Question 86 (x)

Using suitable identities, evaluate the following:

$104 \times 97$

Using suitable identities, evaluate the following:

$98 \times 103$

Q. Evaluate the following by using identities:

103 \times 97

Q. Evaluate the following using identity :

103 \times 97

Q. Using identities, evaluate 97 x 103 = ___.

Join BYJU'S Learning Program

Evaluate 103×97 by using identities

Given expression103×97=(100+3)(100-3)We know that (a+b)(a-b)=a2-b2Using it⇒(100+3)(100-3)=1002-32=10000-9=9991Hence the result is 9991

Evaluate $103 \times 97$ by using identities

Given expression
$103 \times 97 = (100 + 3) (100 - 3)$
We know that
$(a + b) (a - b) = a^{2} - b^{2}$
Using it
$\Rightarrow (100 + 3) (100 - 3) = 100^{2} - 3^{2} = 10000 - 9 = 9991$
Hence the result is $9991$