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

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Solution

Given expression $(1.5 x - 4 y) (1.5 x + 4 y + 3) - 4.5 x + 12 y$
$= (1.5 x - 4 y) (1.5 x + 4 y + 3) - 3 (1.5 x - 4 y)$
Taking $(1.5 x - 4 y)$ as a common, we get
$= (1.5 x - 4 y) [1.5 x + 4 y + 3 - 3]$
$= (1.5 x - 4 y) (1.5 x + 4 y)$
Using $(a + b) (a - b) = a^{2} - b^{2}$ , we get
$(1.5 x)^{2} - (4 y)^{2} = 2.25 x^{2} - 16 y^{2}$

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Similar questions

(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]

Q. Simplify
(i)

(x^{2} - 5) (x + 5) + 25

(ii)

(a^{2} + 5) (b^{3} + 3) + 5

(iii)

(t + 8^{2}) (t^{2} - s)

(iv)

(a + b) (c - d) + (a - b) (c + d) + 2 (a c + b d)

(v)

(x + y) (2 x + y) + (x + 2 y) (x - y)

(vi)

(x + y) (x^{2} - x y + y^{2})

(vii)

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

(viii)

(a + b + c) (a + b - c)

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

Given expression (1.5x−4y)(1.5x+4y+3)−4.5x+12y=(1.5x−4y)(1.5x+4y+3)−3(1.5x−4y)Taking (1.5x−4y) as a common, we get =(1.5x−4y)[1.5x+4y+3−3]=(1.5x−4y)(1.5x+4y) Using (a+b)(a−b)=a2−b2, we get (1.5x)2−(4y)2=2.25x2−16y2

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