Question

evaluate 108×97 using identity​

Answer 1

Answer:

it is self explanatory no need of further explanation

Answer 2

108 × 97 = 10476

Given :

The expression 108 × 97

To find :

The product using 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 108 × 97

Step 2 of 2 :

Find the product using identity

We are aware of identity that

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

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

Thus we get

$\displaystyle \sf{ 108 \times 97 }$

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

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

$\displaystyle \sf{ = 10000 + (5 \times 100) - 24}$

$\displaystyle \sf{ = 10000 + 500 - 24}$

$\displaystyle \sf{ = 10476}$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Apply the distributive property to create an equivalent expression. 5*(−2w−4)

https://brainly.in/question/33967867

2. Complete the following product (x-3)(x^(2)+3x+9)

https://brainly.in/question/25709643