1.

Simplify:(1.5p + 1.2q)2 – (1.5p - 1.2q)2

Answer»

The given expression is

(1.5p + 1.2q)2 – (1.5p - 1.2q)2

We have

(1.5p + 1.2q)2 = (1.5p)2 + 2(1.5p)(1.2q) + (1.2q)2

and

(1.5p - 1.2q)2 = (1.5p)2-2(1.5p)(1.2q) + (1.2q)

Therefore,

(1.5p + 1.2q)2 – (1.5p - 1.2q)2

= (1.5p)2 + 2(1.5p)(1.2q) + (1.2q)2-(1.5p)2 + 2(1.5p)(1.2q)-(1.2q)2


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