Question

(1.5x-4y)(1.5x+4y+3)-4.5x+12y​

Answer 1

(1.5x - 4y)(1.5x + 4y + 3) - 4.5 x + 12y = 2.25 $x^{2}$ - 16·$y^{2}$ - 12y + 12.

Step-by-step explanation:

We have,

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

= 1.5x(1.5x + 4y + 3) - 4y(1.5x + 4y + 3) - 4.5 x + 12y

= 2.25 $x^{2}$ + 6xy + 4.5x - 6xy - 16·$y^{2}$ - 12y - 4.5x + 12

= 2.25 $x^{2}$ - 16·$y^{2}$ - 12y + 12

Hence, (1.5x - 4y)(1.5x + 4y + 3) - 4.5 x + 12y = 2.25 $x^{2}$ - 16·$y^{2}$ - 12y + 12.