Question
Simplify: $(1.5x - 4y)(1.5x + 4y + 3) - 4.5x + 12y.$
✓
Answer
$ (1.5 x-4 y)(1.5 x+4 y+3)-4.5 x+12 y $
$ =1.5 x(1.5 x+4 y+3)-4 y(1.5 x+4 y+3)-4.5 x+12 y $
$ =2.25 x^2+6 x y+4.5 x-6 x y-16 y^2-12 y-4.5 x+12 y $
$ =2.25 x^2+6 x y-6 x y+4.5 x-4.5 x-16 y^2-12 y+12 y $
$ =2.25 x^2-16 y^2 $
$ =1.5 x(1.5 x+4 y+3)-4 y(1.5 x+4 y+3)-4.5 x+12 y $
$ =2.25 x^2+6 x y+4.5 x-6 x y-16 y^2-12 y-4.5 x+12 y $
$ =2.25 x^2+6 x y-6 x y+4.5 x-4.5 x-16 y^2-12 y+12 y $
$ =2.25 x^2-16 y^2 $
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