Question

1.spimlify this algebraic expiration 4x-(2-3x)-5  with details explain.

Answer 1

4x-(2-3x)-5

 

We want to group the like terms, i.e. x with x and numbers with numbers

 

To do this we have to remove that bracket know in computer as a firewall.

 

Notice the sign before the bracket is (-). This is important to note

 

In removing the brackets the sign before the numbers or alphabet in the bracket will change.

 

If you had - sign it will become a + sign

 

Here we go

 

4x-(2-3x)-5

 

4x - 2 + 3x - 5

 

Notice +2 became -2 and -3 became + 3 when the bracket (or fence) was removed.

 

Now group those that look alike together

 

You get 4x + 3x and -2 & -5

 

Result in 7x and -7

 

bring them closer and you get 7x-7

 

you could also go another step by looking at the 7x -7 where you see 7 as the common number

 

result in 7(x-1).

7x-7