Evaluate : (2a−b) (2a+b) (4a^2+b^2) - Vidyadip

Question

Evaluate : $ (2a−b) (2a+b) (4a^2+b^2)$

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Answer

$(2a−b) (2a+b) (4a^2+b^2)$
$= [(2a)^2−(b)^2] (4a^2+b^2)$
$= (4a^2−b^2) (4a^2+b^2)$
$= (4a^2)^2 − (b^2)^2$
$= 16a^4 − b^4$

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