Question

$x(a + b)\times(a - b)\div \: x \: (a) {}^{2} - (b) {}^{2}$
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Answer 1

Answer:

1

Step-by-step explanation:

The answer is very simple if you are in grade 8.

ATQ,

$x(a + b)\times(a - b)\div \: x \: (a) {}^{2} - (b) {}^{2} \:$

Which can also be written as

$\frac{x(a + b)(a - b)}{x {(a)}^{2} - {(b)}^{2} }$

Cutting x from both the numerator and denominator

$\frac{(a + b)(a - b)}{ {(a)}^{2} - {(b)}^{2} }$

If you know the algebraic identities, you may probably guess we are going to apply the 3rd identity into the denominator. So,

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

You can cancel both the values in the numerator and the denominator and will you get 1 as the answer.