1) Factorise the following:
a) 36 x^2y^3 – 54 x^3y^2
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Answer:8x 3 −27y 3 −36x 2 y+54xy 2 =(2x) 3 −(3y) 3 −3×(2x) 2 ×3y+3×2x×(3y) 2 Using,(a−b) 3 =a 3 −b 3 −3a 2 b+3ab 2 =(2x−3y) 3 .
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