Question

using suitable identity find the product of 103×108
​

Answer 1

103*108=103*(100+8)

= 103 X 100 + 103 X 8

= 10300 + 824

= 11124 is your Answer

I hope it will be helpful for you

Answer 2

103 × 108 = 11124

Given :

The expression 103 × 108

To find :

The product using suitable identity

Formula :

We are aware of the identity that

$\displaystyle \sf{(x + a)(x + b) = {x}^{2} + (a + b)x + ab }$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 103 × 108

Step 2 of 2 :

Find the product

We are aware of identity that

$\displaystyle \sf{(x + a)(x + b) = {x}^{2} + (a + b)x + ab }$

We take x = 100 , a = 3 , b = 8

Thus we get

$\displaystyle \sf{ 103 \times 108 }$

$\displaystyle \sf{ = (100 + 3 )\times (100 + 8 )}$

$\displaystyle \sf{ = {(100)}^{2} + (3 + 8) \times 100 + (3 \times 8)}$

$\displaystyle \sf{ = 10000 + (11 \times 100) + 24}$

$\displaystyle \sf{ = 10000 + 1100 + 24}$

$\displaystyle \sf{ = 111124 }$

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