Question

What is the product of 2x-1 and 2x+6? Write your answer in standard form.

Show your work.
Is the product of 2x-1 and 2x+6 equal to the product of 1x-2 and 6+2x? Explain your answer.

Answer 1

`(2x-1)(2x+6) = 4x^2-2x+12x-6 = 4x^2+10x-6.` It does not equal [tex](x-2)(2x+6) because when the constant is expanded, it isn't the same as the original quadratic.