Question

(7-a)(7+a) solution
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Answer 1

• As per the data given in the question, we have to find the value of the expression.

             Given data:- $(7-a)(7+a).$

             To find:- Value of given expression=?

              Solution:-

• We know the identity,

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

           Similarly we get,

              $(7-a)(7+a)\\\Rightarrow (-a+7)(7+a)\\\Rightarrow (-a+7)(a+7)\\\Rightarrow -a^{2}-7 a+7(a+7)\\\Rightarrow -a^{2}-7 a+7 a+49\\\Rightarrow -a^{2}+49.$

Hence we will get the value $-a^{2} +49.$

Answer 2

As per data given in the question

We have to determine the value of $(7-a)(7+a)$

we can solve the equation

given equation$(7-a)(7+a)$

Arrange the term

$(-a+7)(7+a)\\(-a+7)(7+a)\\(-a+7)(a+7)$

Distribute the solution

$(-a+7)(a+7)\\(a+7)(-a)+7(a+7)\\-a(a+7)a+7(a+7)\\-(a^{2} +7a)+7(a+7)\\-(a^{2} +7a)+7(a+7)\\-a^{2}-7a+7(a+7)\\-a^{2} -7a+7a+49\\-a^{2}+49$

Hence we have found $-a^{2} +49$