Ask a question

Simplifying in Algbebra 2 with exponents

 x+ x3 + x+ x3
How do you go about simplifying this? 

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
Corinne G. | Experienced, Creative Tutor with a Custom-Tailored ApproachExperienced, Creative Tutor with a Custo...
5.0 5.0 (1 lesson ratings) (1)
Hi Sarah,
Since both your variable (x) and your exponent (3) are the same for all four terms (aka like terms), you can add them together. 
X³ has an invisible coefficient of 1, so you will be adding 1x³+1x³+1x³+1x³.
When adding like terms, the variable and the exponent stay the same. What changes are the coefficients, which are added together following normal rules for addition, so 1x³+1x³+1x³+1x³ =  (1+1+1+1)x³ = 4x³
Your final answer is 4x³.