Question

Evaluate the value of (95)2 using identities

Answer 1

Answer:

9025

Step-by-step explanation:

95^2= {100-5}^2

{a-b}^2=a^2-2ab+b^2

{100-5}^2=100^2-2*100*5+5^2

              = 10000-1000+25

              =9025

Hope it helps u.

             

Answer 2

Concept-

We can find the square of a number using many methods, but we are going to use the mathematical identity to identify its square. The identity we will use is-

(a-b)² = a² - 2ab +b²

Here, we have to express 95 because the difference of two numbers and then use the above identity.

Given-

Use the above mentioned identity to find the value .

Find-

We have to find the square of 95 using the identity.

Solution-

Use the identity, (a-b)² = a² 2ab + b²,

So, we will use this identity to find the square of 95.

For that, we need to express 95 as the difference of two numbers . Now, we can do this in different  ways like (97-2), (98-3) and so on, but we need to express it in such a way that we don't need to use calculator.

So, we will be expressing 95 as (100- 5)

Here, a = 100 and b = 5

(95)² = ( 100 - 5 )²

(100)² - 2 (100)(5) + ( 5 )²

10000 - 1000 + 25

9000 + 25

9025

Hence, the value of (95)² is 9025.

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