multiply and simplify each of the following

Question

Multiply and simplify the following :

 

(x+3) (2x (2ndpower) -3x+6) =

 

 

 

 

 

and

 

(x+5) (to the 2nd power) times X =

Answer 1

Hi Cortnee, is this what you are looking for?

 

First expression:

 

(x + 3) * (2x² - 3x + 6)

 

Use the distributive property twice, once using the x and once using the 3:

 

Distribute the x:

 

x * 2x² - x * 3x + x * 6

 

2x³ - 3x² + 6x  <== Distribution of x

 

Distribute the 3:

 

3 * 2x² - 3 * 3x + 3 * 6

 

6x² - 9x + 18 <== Distribution of 3

 

Combine the values from the distribution of the x and 3:

 

2x³ + 3x² - 3x + 18

 

Second Expression:

 

(x + 5)² * x

 

First, multiply (x + 5) * (x + 5):

 

(x + 5) * (x + 5) using FOIL:

 

F  = x²

O = 5x

I  = 5x

l  = 25

 

Combine terms:

 

x² + 10x + 25

 

Now multiply the expression x² + 10x + 25 by x giving:

 

x³ + 10x² + 25x

 

Questions?