(7x+x^4+10)+(9-7x-x^4)

Question

 i need help with algerba 1 i cant get the hang of it sp that why im on this set trying to learn how to do it

Answer 1

(7x + x⁴ + 10) + (9 - 7x - x⁴)

 

= (7x-7x) + (x⁴-x⁴) + (10+9) = 19

Answer 2

Hi Danerrica, adding variables in algebra require that the variables have the same letters and have the same power.

 

Example:

 

Add: x + x² 

 

Answer: the variables are the same, but the powers are different.  

 

Add: 3x³ + 2x³

 

Answer: 5x³, I can add the two variables because they have the same power.

 

Add: 5xy + 3yz

 

Answer: I cannot add these two terms because the variables are different, one is xy and the other is yz.

 

Your problem:

 

(7x + x⁴ + 10) - (9 - 7x - x⁴)

 

Remember: when you remove the parenthesis and there is a minus sign in front of the parenthesis, it is like multiplying everything in the parenthesis by -1.

 

First remove the parenthesis:

 

(7x + x⁴ + 10) becomes 7x + x⁴ + 10

 

- (9 - 7x - x⁴) becomes -9 + 7x + x⁴

 

Combine:

 

7x + x⁴ + 10 - 9 + 7x + x⁴ 

 

Now identify the terms that are the same:

 

x terms

 

x⁴ terms

 

Integer terms (10 and -9)

 

Add the integer terms:

 

10 - 9 = 1

 

Add the x terms:

 

7x + 7x = 14x (always add the coefficients to get the answer)

 

Add the x⁴ terms:

 

x⁴ + x⁴ = 2x⁴ (remember if there is no coefficient before the variable, use a 1 when you add)

 

Answer:

 

1 + 14x + 2x⁴

 

Questions?