Question

Factorize each of the following expression:
16a⁴ − b⁴

Answer 1

$$16a^4-b^4$$
$$=(4a^2{)}^2-(b^2{)}^2$$
$$=(4a^2+b^2)(4a^2-b^2)$$
$$=(4a^2+b^2)[(2a{)}^2-b^2]$$
$$=(4a^2+b^2)(2a+b)(2a-b)$$