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Question
Factorize each of the following expression:
16a4 − b4
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Solution
\[16 a^4 - b^4 \]
\[ = (4 a^2 )^2 - ( b^2 )^2 \]
\[ = (4 a^2 + b^2 )(4 a^2 - b^2 )\]
\[ = (4 a^2 + b^2 )[(2a )^2 - b^2 ]\]
\[ = (4 a^2 + b^2 )(2a + b)(2a - b)\]
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