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Question
Factorise:
5x4 – 80y4
Sum
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Solution
Given expression: 5x4 – 80y4
⇒ 5(x4 – 16y4)
⇒ 5[(x2)2 – (4y2)2]
We know that,
a2 – b2 = (a + b) (a – b)
Hence,
⇒ 5(x2 + 4y2) (x2 – 4y2)
⇒ 5(x2 + 4y2) [x2 – (2y)2]
⇒ 5(x2 + 4y2) (x – 2y) (x + 2y)
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