Use the Distributive Property

Question

(x+y)(2x²+3x+5)

Answer 1

Hey, Dalton

This is one of my favors, the Distributive Property. This problem is easy but if you are not careful you can mess it up.  I am going to do it an organized fashion.  Ready,

 

(x) (2x^2)   =   2x^3      add the exponents of x: 1+2 =3.  Remember if you don't see an exponent, the exponent is 1.

(x) (3x)       =   3x^2      add the exponents of x: 1+1 =2

(x)  (5)        =   5x

 

(y)(2x^2)    =   2x^2y    don't add the exponents since they are different variables

(y) (3x)       =    3xy

(y) (5)         =   5y  

 

Well, we are done using the Distributive Property.  Now, we need to check if we have like terms. Nope.  They are all different.

 

So, the final answer will be  2x^3+ 3x^2+ 2x^2y+3xy+5x+5y

 

Good luck

D.Y. Taylor

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