MyQuestionIcon

1

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

Factorisation Using Algebraic Identities

xiv Factorise...

Question

Question 92 (xiv)

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

$\frac{4 x^{2}}{9} - \frac{9 y^{2}}{16}$

Open in App

Solution

$\frac{4 x^{2}}{9} - \frac{9 y^{2}}{16} = {(\frac{2 x}{3})}^{2} - {(\frac{3 y}{4})}^{2} = (\frac{2 x}{3} + \frac{3 y}{4}) (\frac{2 x}{3} - \frac{3 y}{4})$

Suggest Corrections

thumbs-up

3

Similar questions

Question 92 (i)

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

$x^{2} - 9$

Question 92 (xiv)

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

$\frac{4 x^{2}}{9} - \frac{9 y^{2}}{16}$

Question 92 (xv)

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

$\frac{x^{3} y}{9} - \frac{x y^{3}}{16}$

Question 92 (vi)

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

$9 x^{2} - 1$

Question 92 (xxiii)

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

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

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