Question

Look at each set of expression below to determine if they are equal. a) y+y+y and 3yb) 2y^2+ 3 and 2(2+y^2)-2

Answer 1

Let's evaluate the following expressions:

a.) y+y+y and 3y

b.) 2y^2+ 3 and 2(2+y^2)-2​

a.) y+y+y and 3y

$\text{ y + y + y = 3y}$$\text{ 3y = 3y}$

Therefore, y+y+y and 3y are equal.

b.) 2y^2+ 3 and 2(2+y^2)-2​

$\text{ 2y}^2+3=2(2+y^2)\text{ - 2}$$\text{ 2y}^2+3=4+2y^2\text{ - 2}$$\text{ 2y}^2+3=2y^2+4\text{ - 2}$$\text{ 2y}^2+3\ne2y^2+2$

Therefore, 2y^2+ 3 and 2(2+y^2)-2​ are not equal.