How do I simplify this expression : 2 + 9(2-3b)

Question

How is distributive property apply in this problem?

Answer 1

Hi there

 

first ignore the number 2 as if it was there

 

Then try to open that bracket containing ( 2 - 3b) with the number 9

 

so you will multiply 2 by 9 that is 9*2 and as well as multiplying -3b by 9 that is, 9*-3b

 

now you have  2 + 18 -27b

 

solve that 2 + 18

 

what ever you get   - 27b

 

that is  (2+18) - 27b

Answer 2

Anna, hello.  The distributive property tells us that multiplication distributes over addition.  In symbols, for any expressions A, B and C, we have that A(B+C)=AB+AC.  In your case A is 9, B is 2 and C is -3b.  So we have that 9(2-3b)=9(2)+9(-3b).  This simplifies to 18-27b.  Lastly, we add two to get 2+18-27b=20-27b.  I hope this helps.

Answer 3

distributive property : A(B+C) = A*B + A*C

 

example... 2(4-3x) = 8-6x

 

 

2+ 9(2-3b) = 2+ 9*2 - 9*3b

 

Can you finish the calculation?