(2x+y)(3x^2+y) preform the indicated operation

6x^3+2xy+3x^2y+y^2

Step-by-step explanation:

Use the distributive property (in this occasion it's also know as FOIL)

2x * 3x² is 6x^3

2x * y is 2xy

y * 3x² is 3x²y

y * y is y²

The final answer is 6x^3 + 2xy + 3x²y + y²

5

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus