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.

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

Click and drag like terms onto each other to simplify fully.\newline5y5x4x2+5x32x2+x32x2 5 y-5 x-4 x^{2}+5 x^{3}-2 x^{2}+x^{3}-2 x^{2}

Full solution

Q. Click and drag like terms onto each other to simplify fully.\newline5y5x4x2+5x32x2+x32x2 5 y-5 x-4 x^{2}+5 x^{3}-2 x^{2}+x^{3}-2 x^{2}
  1. Identify Like Terms: Identify like terms in the expression.\newlineLike terms are terms that have the same variables raised to the same powers.\newlineIn the given expression, the like terms are:\newline5x-5x and 4x2-4x^{2} and 2x2-2x^{2} and 2x2-2x^{2} are like terms because they all have the variable xx raised to the power of 22.\newline5x35x^{3} and x3x^{3} are like terms because they both have the variable xx raised to the power of 33.\newline4x2-4x^{2}00 is not a like term with any other term because it is the only term with the variable 4x2-4x^{2}11.
  2. Combine x3x^3 Terms: Combine the like terms with the variable xx raised to the power of 33.5x3+x3=6x35x^{3} + x^{3} = 6x^{3}
  3. Combine x2x^2 Terms: Combine the like terms with the variable xx raised to the power of 22.4x22x22x2=8x2-4x^{2} - 2x^{2} - 2x^{2} = -8x^{2}
  4. Combine xx Terms: Combine the like terms with the variable xx. There is only one term with the variable xx, which is 5x-5x, so it remains unchanged.
  5. Combine yy Terms: Combine the like terms with the variable yy. There is only one term with the variable yy, which is 5y5y, so it remains unchanged.
  6. Write Simplified Expression: Write down the simplified expression by combining all the terms we have simplified.\newlineThe simplified expression is 6x38x25x+5y6x^{3} - 8x^{2} - 5x + 5y.

More problems from Identify arithmetic and geometric sequences