Question

solve : (a^2 - b^2) / a-b

Answer 1

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

            Given data:- $\frac{a^{2}-b^{2} }{a-b} .$  

            To find:- $\frac{a^{2}-b^{2} }{a-b} =?$

            Solution:-

• $a^{2} -b^{2}$ is an algebraic identity.

• here we know that the algebraic equation $a^{2} -b^{2}=(a+b)(a-b).$
• we will expand the algebraic equation so we get,

                $=\frac{(a+b)(a-b)}{a-b} \\=a+b.$

      Hence $\frac{a^{2}-b^{2} }{a-b}$ is equal to $a+b.$

Answer 2

Answer:

$\frac{a^{2}-b^{2}}{a-b}=a+b$

Step-by-step explanation:

Given $\frac{a^{2}-b^{2}}{a-b}$.

We know the formula $a^{2}-b^{2}=(a-b)(a+b)$

Substituting the formula in the given equation,

$=\frac{(a-b)(a+b)}{a-b}$

Cancel the term $a-b$ in the numerator and the denominator, we get

$=a+b$.