If A=2q^2 +10 and B=2q-10, find an expression that equals A+2B in standard form

Answer 1

Hi Zy R. I can help you with this problem.

If A = 2q^2 + 10 and B = 2q - 10, then A + 2B = 2q^2 + 10 + 2*(2q - 10). Notice how I am just substituting 2q^2 + 10 in for A and 2q - 10 in for B.

Next, we are going to want to distribute: 2q^2 + 10 + 2*(2q - 10) = 2q^2 + 10 + 2*2q - 20 = 2q^2 + 10 + 4q - 20 = 2q^2 + 4q - 10.

Answer: 2q^2 + 4q - 10.