Solution

From Exampleproblems

Evaluate 2x(x^2-4)+5x^2(2x-12)+7(2x^3+x^2-11)+(x^2+14)

First remove the paranthesis with multiplication $2x(x^2)-2x(4)+5x^2(2x)-5x^2(12)+7(2x^3)+7(x^2)-7(11)+x^2+14\,$

Now multiply the variables $2x^3-8x+10x^3-60x^2+14x^3+7x^2-77+x^2+14\,$

Now rearrange the variables in the order of their exponents in decreasing $2x^3+10x^3+14x^3-60x^2+7x^2+x^2-8x-77+14\,$

The solution is $26x^3-52x^2-8x-63\,$