MyQuestionIcon

1

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

Factorization of a Quadratic Trinomial

Question 92 x...

Question

Question 92 (xxv)

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

$16 x^{4} - 625 y^{4}$

Open in App

Solution

$16 x^{4} - 625 y^{4} = (4 x^{2})^{2} - (25 y^{2})^{2} = (4 x^{2} + 25 y^{2}) (4 x^{2} - 25 y^{2}) = (4 x^{2} + 25 y^{2}) [(2 x)^{2} - (5 y)^{2}] = (4 x^{2} + 25 y^{2}) (2 x + 5 y) (2 x - 5 y)$

Suggest Corrections

thumbs-up

0

Similar questions

Question 92 (xxv)

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

$16 x^{4} - 625 y^{4}$

Question 92 (xxvi)

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

$(a - b)^{2} - (b - c)^{2}$

Question 92 (xxvi)

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

$(a - b)^{2} - (b - c)^{2}$

Question 92 (v)

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

$28 a y^{2} - 175 a x^{2}$

Question 92 (vii)

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

$25 a x^{2} - 25 a$

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Factorization of a Quadratic Trinomial

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon