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Question
Simplify.
(1.5x − 4y) (1.5x + 4y + 3) − 4.5x + 12y
Solution
(1.5x − 4y) (1.5x + 4y + 3) − 4.5x + 12y
= 1.5x (1.5x + 4y + 3) − 4y (1.5x + 4y + 3) − 4.5x + 12y
= 2.25 x2 + 6xy + 4.5x − 6xy − 16y2 − 12y − 4.5x + 12y
= 2.25 x2 + (6xy − 6xy) + (4.5x − 4.5x) − 16y2 + (12y − 12y)
= 2.25x2 − 16y2
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