MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Factorisation Using Algebraic Identities

viii Factoris...

Question

Question 92 (viii)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$\frac{x^{2}}{9} - \frac{y^{2}}{25}$

Open in App

Solution

We have,
$\frac{x^{2}}{9} - \frac{y^{2}}{25} = {(\frac{x}{3})}^{2} - {(\frac{y}{5})}^{2} = (\frac{x}{3} - \frac{y}{5}) (\frac{x}{3} + \frac{y}{5})$

Suggest Corrections

thumbs-up

0

Similar questions

Question 92 (xxviii)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$x^{4} - y^{4} + x^{2} - y^{2}$

Question 92 (xii)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$\frac{x^{2}}{25} - 625$

Question 92 (xiii)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$\frac{x^{2}}{8} - \frac{y^{2}}{18}$

Question 92 (vi)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$9 x^{2} - 1$

Question 92 (viii)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$\frac{x^{2}}{9} - \frac{y^{2}}{25}$

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Factorisation Using Algebraic Identities

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon