Question

185×185-115×115 evaluate using identity

Answer 1

this is the answer for u r question.


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Answer 2

Concept:

Large calculations can be easily solved using the important algebraic formulas. Algebraic formulas can help simplify the questions involving powers or polynomial form. We will use the formula $a^{2} -b^{2}=(a+b)(a-b)$

in this case. For better understanding,

it can be prove that

(a+ b)(a- b)= $a^{2}+ab-ab-b^{2}=a^{2}-b^{2}$

Given:

185x185-115x115 is to be evaluated as an identity

Find:

We are required to evaluate the given  identity to get the result of the given identity in simplified form.

Solution:

By considering the above data,

We can use the algebraic formula of the form $a^{2}-b^2$

185x185-115x115 is of the form$185^{2} -115^{2}$

Now we know that $a^{2}-b^{2}=(a+ b) (a-b)$

therefore,

$185^{2}-115^{2}= (185+115) (185-115)$

                  =300x70

                  =21000

Hence the value of the given identity is 21000

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