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}

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0.25 x^{2} + 16 y^{2}

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12.25 x^{2} - 16 y^{2}

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Solution

The correct option is A $2.25 x^{2} - 16 y^{2}$
$(1.5 x - 4 y) (1.5 x + 4 y + 3) - 4.5 x + 12 y$
$= 1.5 x (1.5 x + 4 y + 3) - 4 y (1.5 x + 4 y + 3) - 4.5 x + 12 y$
$= 2.25 x^{2} + 6 x y + 4.5 x - 6 x y - 16 y^{2} - 12 y - 4.5 x + 12 y$
$= 2.25 x^{2} - 16 y^{2}$

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

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