Mathematics
(x2 + 4y2 - 9z2)2 - 16x2y2
Factorisation
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Answer
Given,
(x2 + 4y2 - 9z2)2 - 16x2y2
= (x2 + 4y2 - 9z2)2 - (4xy)2
= (x2 + 4y2 - 9z2 + 4xy)(x2 + 4y2 - 9z2 - 4xy)
= [x2 + (2y)2 + 4xy - 9z2][x2 + (2y)2 - 4xy - 9z2]
= [(x + 2y)2 - (3z)2][(x - 2y)2 - (3z)2]
= (x + 2y + 3z)(x + 2y - 3z)(x - 2y + 3z)(x - 2y - 3z).
Answered By
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