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

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Solution

Step 1 Explanation of the concept
BODMAS is the order of operations.
B - Brackets, O - Order of powers, D - Division, M - Multiplication, A - Addition, and S - Subtraction make up the abbreviation.
Step 2 Find the expression :
$(1.5 x - 4 y) (1.5 x + 4 y + 3) - 4.5 x + 12 y = 1.5 x (1.5 x + 4 y + 3) - 4 y (1.5 x + 4 y + 3) - 4.5 x + 12 y [By distributive property : a (c + d) - b (c + d)] = 2.25 x^{2} + 6 x y + 4.5 x - 6 x y - 16 y^{2} - 12 y - 4.5 x + 12 y = 2.25 x^{2} - 16 y^{2}$
Therefore, the simplification of the expression $(1.5 x - 4 y) (1.5 x + 4 y + 3) - 4.5 x + 12 y$ is $2 .25 x^{2} - 16 y^{2}$ .

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