Question

evaluate (105)² by using identities​

Answer 1

Step-by-step explanation:

• By using identify (a+b) ^2 = a^2+2ab+b^2
• Now, (105)^2 = (100+5)^2
• Here, a= 100 and b= 5
• So, 100^2+2*100*5+5^2
• 10000+1000+25
• 11025

Answer 2

According to the information provided in the question.

It is stated in the preceding question that,

The presented information is $105^{2}$

We need to evaluate (105)² by using identities​.

As a result, the evaluation of given value,

Identity is comparing one expression with another expression.

$105^{2} =(100+5)^{2}$

Comparing we get,

$\left[(a+b)^{2}=a^{2}+b^{2}-2 a b\right]$

Comparing and substitute the vale,

$\begin{array}{l}=(100)^{2}+(5)^{2}+2(5)(100) \\=10000+25+1000 \\=11025 .\end{array}$

Therefore we get the value as 11025.