$(1.5 x - 4 y) (1.5 x + 4 y + 3) - 4.5 x + 12 y$ .

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Solution

$= (1.5 x - 4 y) (1.5 x + 4 y + 3) - 4.5 x + 12 y$
$= (1.5 x) (1.5 x) + (1.5 x) (4 y) + (1.5 x) (3) - (4 y) (1.5 x) - (4 y) (4 y) - 4 y \times 3 - 4.5 x + 12 y$
$= 2.25 x^{2} + 6 x y + 4.5 x - 6 x y - 16 y^{2} - 12 y - 4.5 x + 12 y$
$= 2.25 x^{2} - 16 y^{2}$

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(1.5x−4y)(1.5x+4y+3)−4.5x+12y.

=(1.5x−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=2.25x2+6xy+4.5x−6xy−16y2−12y−4.5x+12y=2.25x2−16y2

$(1.5 x - 4 y) (1.5 x + 4 y + 3) - 4.5 x + 12 y$ .

$= (1.5 x - 4 y) (1.5 x + 4 y + 3) - 4.5 x + 12 y$
$= (1.5 x) (1.5 x) + (1.5 x) (4 y) + (1.5 x) (3) - (4 y) (1.5 x) - (4 y) (4 y) - 4 y \times 3 - 4.5 x + 12 y$
$= 2.25 x^{2} + 6 x y + 4.5 x - 6 x y - 16 y^{2} - 12 y - 4.5 x + 12 y$
$= 2.25 x^{2} - 16 y^{2}$