Factorise :
3(2x−y)3+9(2x−y)23(2x -y)^3 + 9(2x - y)^23(2x−y)3+9(2x−y)2
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3(2x−y)3+9(2x−y)2=3(2x−y)2[(2x−y)+3]=3(2x−y)2(2x−y+3)3(2x -y)^3 + 9(2x - y)^2 = 3(2x - y)^2[(2x - y) + 3]\\[1em] = 3(2x - y)^2(2x - y + 3)3(2x−y)3+9(2x−y)2=3(2x−y)2[(2x−y)+3]=3(2x−y)2(2x−y+3)
Hence, 3(2x−y)3+9(2x−y)2=3(2x−y)2(2x−y+3)3(2x -y)^3 + 9(2x - y)^2 = 3(2x - y)^2(2x - y + 3)3(2x−y)3+9(2x−y)2=3(2x−y)2(2x−y+3).
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