Question 128056
Multiply a and 4 
Multiply a and 1 


The a just gets copied along. 

The answer is a 

a 

4*a evaluates to 4a 


Multiply the exponent of a by 2giving a^2 

The answer is a^2

a^2 evaluates to  a^2

To divide 1 by a^2


The a^2 just gets copied along in the denominator. 

The answer is a^--2

1/a^2 evaluates to  a^-2

4*a+1/a^2 evaluates to  4a+a^-2

The answer is 4a+a^-2-4

4*a+1/a^2-4 evaluates to  4a+a^-2-4

Multiply a and 3 

Multiply a and 1 


The a just gets copied along. 

The answer is a 

a 

3*a evaluates to 3a 

3*a-a evaluates to 2a 


Multiply the exponent of a by 2giving a^2

The answer is a^2

a^2 evaluates to  a^2

To divide 1 by a^2


The a^2 just gets copied along in the denominater                  



The answer is a^-2

7/a^2 evaluates to  7a^-2

3*a-a+7/a^2 evaluates to 2a+7a^-2

The answer is 2a+7a^-2-4

3*a-a+7/a^2-4 evaluates to  2a+7a^-2-4

To subtract the polynomials and we try to subtract terms in one polynomialwith any like terms in the other polynomial. 

Be very careful with the "-" sign in front 2a+7a^-2-4 it is to be used on all terms in it. 

4a - 2a = 2a 

a^-2_7a^-2=-6a^-2

-4 - -4 = 0 

The answer is 2a-6a^-2

(4*a+1/a^2-4)-(3*a-a+7/a^2-4) evaluates to  2a-6a^-2



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The final answer is   2a-6a^-2