Question

using identity , evaluate : 978² - 22²​

Answer 1

$978^{2}$ - $22^{2}$

9,56,484 - 484

9,56,000

Answer 2

• We have to evaluate the above expression by using the given data.

             Given data:- $978^{2} -22^{2}.$

             To find:- Value of above expression.

             Solution:-

• Here we will use the BODMAS rule.

• BODMAS rule is to be followed while solving expressions in

         B= bracket

         O= order of power or rules

         D= division

         M= multiplication

         A= addition

         S=subtraction

         Therefore,

• We know that the identity,

        $a^{2} -b^{2} =(a+b)(a-b).$

        similarly, we get

        $978^{2} -22^{2}\\\Rightarrow(978)^{2}-(22)^{2} \\\Rightarrow(978-22)(978+22)\\\Rightarrow (956)(1000)\\\Rightarrow 956000.$

      Hence we will get $(978)^{2} -(22)^{2} =956000.$