Simplify the Expression

Question

(4a³-9a²-2) - (-2a³ + 4a² - 7)

Answer 1

Jessica to simplify the expression, you need to combine like terms!

 

(4a3-9a2-2) - (-2a3 + 4a2 - 7) is what is given and within each quantity there are no common factors. However, you can remove the parentheses for each quantity. To remove the parentheses from the second quantity, you must distribute the negative in front to each term inside because in a way the quantity is being multiplied by -1. This will make the signs change:

 

(4a³-9a²-2) - (-2a³ + 4a² - 7)

=4a³-9a²-2 +2a³ - 4a² +7

 

Now you need to combine like terms, so the a³ terms are together, the a² terms are together, and the numbers are together:

 

=4a3-9a2-2 +2a3 - 4a2 +7

= 4a3+2a3    -9a2-4a2     -2+7

=6a3   -13a2    +5

=6a³ -13a² +5

 

Thus, the expression is simplified to 6a³ -13a² +5

Answer 2

Let us suppose (4a³-9a²-2) = A , (-2a³+4a²-7) =B

 

 

Step 1 : Leave A as it is and Take B and muliplicate (-) (B)

 

 

                -(B)= -(-2a³+4a²-7)

                      = -(-2a³) - (+4a²) - (-7)             

                      =  2a³-4a²+7.

 

Step 2 : Add A and -(B) 

 

       A+(-B) = (4a³-9a²-2) + (2a³-4a²+7)

 

Step 3 :  Add Corresponding powers

 

        A+(-B) = (4a³+ 2a³) + (-9a²-4a²) + (-2+7)

                   =  (6a³) + (-13a²) +(5)

                   =  (6a³-13a²+5)

 

 

And Answer of (4a³-9a²-2) - (-2a³ + 4a² - 7) = (6a³-13a²+5).