Factorise :
1−(2x−3y)21 - (2x - 3y)^21−(2x−3y)2
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1−(2x−3y)2=12−(2x−3y)2=(1−(2x−3y))(1+(2x−3y))=(1−2x+3y)(1+2x−3y)1 - (2x - 3y)^2 = 1^2 - (2x - 3y)^2\\[1em] = \Big(1 - (2x - 3y)\Big)\Big(1 + (2x - 3y)\Big)\\[1em] = (1 - 2x + 3y)(1 + 2x - 3y)1−(2x−3y)2=12−(2x−3y)2=(1−(2x−3y))(1+(2x−3y))=(1−2x+3y)(1+2x−3y)
Hence, 1−(2x−3y)2=(1−2x+3y)(1+2x−3y)1 - (2x - 3y)^2 = (1 - 2x + 3y)(1 + 2x - 3y)1−(2x−3y)2=(1−2x+3y)(1+2x−3y).
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