Question

I'm not really good at Algebra 1 I just need help on this 1 assignment please...

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

product will be
(2x-1) (2x+6)
4x^2 + 12x -2x -6
4x^2 +10x -6

and no the product of 2x-1 and 2x+6 will not be equal to the product of 1x-2 and 6x+2x

Answer 2

(2x-1) (2x+6)
= 2x(2x+6)-1(2x+6)
= 4x²+12x-2x-6
= 4x²+10x-6
        And 
(1x-2) (6+2x)
= x(6+2x)-2(6+2x)
= 6x+2x²-12-2x²
= 6x-12
∴ the products are not equal