Simplify (1.5 − 4)(1.5 + 4 + 3) − 4.5 + 12
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Simplify (1.5x−4y)(1.5x+4y+3)−4.5x+12y
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ANSWER
(1.5x−4y)(1.5x+4y+3)−4.5x+12y
=1.5x(1.5x+4y+3)−4y(1.5x+4y+3)−4.5x+12y
=1.5x×1.5x+1.5x×4y+1.5x×3−4y×1.5x−4y×4y−4y×3−4.5x+12y
=2.25x
2
+6xy+4.5x−6xy−16y
2
−12y−4.5x+12y
=2.25x
2
+(6−6)xy+(4.5−4.5)x−16y
2
+(−12+12)y
=2.25x
2
+(0)xy+(0)x−16y
2
+(0)y
=2.25x
2
−16y
2
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