Factorize each of the following expressions:

$16 x^{2} - 25 y^{2}$

Open in App

Solution

Given: $16 x^{2} - 25 y^{2}$

$∴ 16 x^{2} - 25 y^{2}$
$= (4 x)^{2} - (5 y)^{2}$
$= (4 x + 5 y) (4 x - 5 y) [∵ a^{2} - b^{2} = (a + b) (a - b)]$

Hence, $16 x^{2} - 25 y^{2} = (4 x + 5 y) (4 x - 5 y)$ .

Suggest Corrections

Similar questions

Factorize the following expression: $16 (2 x - 1)^{2} - 25 y^{2}$

16 x^{2} + 25 y^{2} + 40 x y

x = \frac{1}{4}, y = \frac{1}{5}

Factorize the expression $9 - 30 y + 25 y^{2}$ . [2 MARKS]

16 x^{2} + 25 y^{2} = 400

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program