Question

using identities evaluate 105²​

Answer 1

Answer:

Solution

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(105)

2

=(100+5)

2

[(a+b)

2

=a

2

+b

2

−2ab]

=(100)

2

+(5)

2

+2(5)(100)

=10000+25+1000

=11025.

Answer 2

The given data in the above question,

It is given that the value is $105^{2}$

we have to evaluate the given equation using identities.

Thus, evaluation of the given value we get,

The given expression is evaluated with other expression we get,

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

Comparing we get,

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

Further comparing and substituting we get,

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

Hence evaluating we get the value as 11025.