Question

Factorize each of the following expression:
16a⁴ − b⁴

Answer 1

\[16 a^4 - b^4 \]
\[ = (4 a^2 )^2 - ( b^2 )^2 \]
\[ = (4 a^2 + b^2 )(4 a^2 - b^2 )\]
\[ = (4 a^2 + b^2 )[(2a )^2 - b^2 ]\]
\[ = (4 a^2 + b^2 )(2a + b)(2a - b)\]