Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Click and drag like terms onto each other to simplify fully.

-3y^(3)+y^(2)-5y^(3)-3+4+2+y^(3)

Click and drag like terms onto each other to simplify fully.\newline3y3+y25y33+4+2+y3 -3 y^{3}+y^{2}-5 y^{3}-3+4+2+y^{3}

Full solution

Q. Click and drag like terms onto each other to simplify fully.\newline3y3+y25y33+4+2+y3 -3 y^{3}+y^{2}-5 y^{3}-3+4+2+y^{3}
  1. Identify Like Terms: Identify like terms in the expression. Like terms are terms that have the same variable raised to the same power.\newline3y3-3y^{3}, 5y3-5y^{3}, and y3y^{3} are like terms because they all have yy raised to the third power.\newliney2y^{2} is by itself because there are no other yy squared terms.\newline3-3, 44, and 22 are like terms because they are constant terms without variables.
  2. Combine Like Terms: Combine the like terms that are the coefficients of y3y^{3}.
    3y35y3+y3=35+1=7y3-3y^{3} - 5y^{3} + y^{3} = -3 - 5 + 1 = -7y^{3}
  3. Combine Constant Terms: Combine the constant terms.\newline3+4+2=3-3 + 4 + 2 = 3
  4. Write Simplified Expression: Write the simplified expression with the combined like terms.\newlineThe simplified expression is 7y3+y2+3-7y^{3} + y^{2} + 3.

More problems from Roots of integers