Mathematics
Factorise :
3x7y - 81x4y4
Factorisation
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Answer
Given,
3x7y - 81x4y4
= 3x4y[x3 - 27y3]
= 3x4y[(x)3 - (3y)3]
= 3x4y(x - 3y)[(x)2 + x × 3y + (3y)2]
= 3x4y(x - 3y)(x2 + 3xy + 9y2).
Hence, 3x7y - 81x4y4 = 3x4y(x - 3y)(x2 + 3xy + 9y2).
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