We have, 16a^4 9b^4 ⇒ (4a^2)^2 (3b^2)^2 ⇒ (4a^2+3b^2)(4a^2 3b^2) Hence, this is the answer. ...

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

Addition and Subtraction of Algebraic Expression

Factorize: 1...

Question

Factorize:
$16 a^{4} - 9 b^{4}$

Open in App

Solution

We have,
$16 a^{4} - 9 b^{4}$

$\Rightarrow (4 a^{2})^{2} - (3 b^{2})^{2}$

$\Rightarrow (4 a^{2} + 3 b^{2}) (4 a^{2} - 3 b^{2})$

Hence, this is the answer.

Suggest Corrections

Similar questions

16 a^{4} - 81 b^{4}

2 a + \frac{1}{2 a} = 8

16 a^{4} + \frac{1}{16 a^{4}}

If $2 a + \frac{1}{2 a} = 3$ , then $16 a^{4} + \frac{1}{16 a^{4}} = ?$

If $2 a + \frac{1}{2 a} = 8$ , find :

(i) $4 a^{2} + \frac{1}{4 a^{2}}$

(ii) $16 a^{4} + \frac{1}{16 a^{4}}$

Join BYJU'S Learning Program