Simplify: (3x - 2)(2x - 3) + (5x - 3)(x + 1) - Vidyadip

Question

Simplify: $(3x - 2)(2x - 3) + (5x - 3)(x + 1)$

✓

Answer

To simplify, we will proceed as follows:
$ (3 x-2)(2 x-3)+(5 x-3)(x+1) $
$ =[(3 x-2)(2 x-3)]+[(5 x-3)(x+1)] $
$ =[3 x(2 x-3)-2(2 x-3)]+[5 x(x+1)-3(x+1)] \text { (Distributive law) } $
$ =6 x^2-9 x-4 x+6+5 x^2+5 x-3 x-3 $
$ =6 x^2+5 x^2-9 x-4 x+5 x-3 x-3+6 $
$ =11 x^2-11 x+3 \text { (Combining like terms) }$
Thus, the answer is $11 x^2-11 x+3$.

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