Question

Combine the like terms to simplify the expression: 8x3 – 2x2 + x + 3x3

Help please :)

Answer 1

the like terms are the terms with the same variables and same exponents

Answer 2

for instance, 8x^3 and 3x^3 are like terms (the exponents are the same)

but -2x^2 and x are NOT like terms (the exponents are different)

Answer 3

to combine like terms, you just add/subtract the coefficients (the numbers out front)

so...

8x^3 + 3x^3 = 11x^3

since 8+3 = 11

Answer 4

there are no other like terms to combine, so your final answer is

\[\large 11x^3 - 2x^2 + x\]

Answer 5

Thank you so much ! I appreciate the help :D

Answer 6

you're welcome