Factorise :
8x2y - 18y3
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= 2y (4x2 - 9y2)
= 2y ((2x)2 - (3y)2)
Using the formula
[∵ (x2 - y2) = (x + y)(x - y)]
= 2y (2x - 3y)(2x + 3y)
Hence,8x2y - 18y3 = 2y (2x - 3y)(2x + 3y)
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8x3 - 18x is equal to:
x(2x + 3) (2x - 3)
2x(3 - 2x) (3 + 2x)
2x(2x + 3) (2x - 3)
x(4x + 6y) (4x - 6y)
x2 - (a - b) x - ab is equal to:
(x - a) (x - b)
(x + a) (x - b)
(x - a) (x + b)
(x + a) (x + b)
25x3 - x
16x4 - 81y4