Factorise:
$a^{4} - b^{4}$

Open in App

Solution

$a^{4} - b^{4} = (a^{2})^{2} - (b^{2})^{2} = (a^{2} - b^{2}) (a^{2} + b^{2}) = (a - b) (a + b) (a^{2} + b^{2})$

Suggest Corrections

Similar questions

Factorise:

$a^{4} - 343 a$

(a - b)^{4} + (a + b)^{4}

9 (a^{4} b^{6} - a^{6} b^{4}) \div 3 a^{4} b^{4}

If X = 1 - a^{2} and Y = 1 - b^{2}, then what is X^{2} + Y^{2} ?

(a + b)^{4} - (a - b)^{4}

(\sqrt{3} + \sqrt{2})^{4} - (\sqrt{3} - \sqrt{2})^{4} .

Join BYJU'S Learning Program