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

$2.25 x^{2} - 16 y^{2}$

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$2.25 x^{2} + 16 y^{2} + 6 x y$

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$2.25 x^{2} + 16 y^{2} - 6 x y$

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$2.25 x^{2} + 16 y^{2} + 6 x y - 4.5 x$

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Solution

The correct option is A
$2.25 x^{2} - 16 y^{2}$

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

[Using identity: $(a - b) \times (a + b) = a^{2} - b^{2}$ ]

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

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Similar questions

Q. Simplify:

(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

Question 3(vi)
Simplify:
(1.5x-4y)(1.5x+4y+3)-4.5x+12y

Question 3(vi)
Simplify:
(1.5x-4y)(1.5x+4y+3)-4.5x+12y

Simplify the following:

$(i) (1.5 x - 4 y) (1.5 x + 4 y + 3)$

$(i i) (x + y) (2 x + y) + (x + 2 y) (x - y)$

$(i i i) (a^{2} + 5) (b^{3} + 3) + 5$ [3 MARKS]

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Simplify: (1.5x−4y)(1.5x+4y+3)−4.5x+12y

The correct option is A 2.25x2−16y2 (1.5x−4y)(1.5x+4y+3)−4.5x+12y =(1.5x−4y)(1.5x+4y)+(1.5x−4y)(3)−4.5x+12y [Using identity: (a−b)×(a+b)=a2−b2] =(1.5x)2−(4y)2+4.5x−12y−4.5x+12y =2.25x2−16y2

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