Q. Click and drag like terms onto each other to simplify fully.5x+4x2−6+6+2y+x+4
Combine Constants: Identify and combine like terms that are constants (numbers without variables).−6+6+4 can be combined because they are all constants.−6+6=0 and 0+4=4.
Combine Linear Terms: Identify and combine like terms that are linear in x (terms with x to the power of 1).5x+x can be combined because they both have the variable x to the power of 1.5x+x=6x.
Combine Quadratic Terms: Identify and combine like terms that are quadratic in x (terms with x to the power of 2).There is only one term with x to the power of 2, which is 4x2, so it remains unchanged.
Combine Linear Terms: Identify and combine like terms that are linear in y (terms with y to the power of 1).There is only one term with y, which is 2y, so it remains unchanged.
Write Simplified Expression: Combine all the like terms we have identified to write the simplified expression.The simplified expression is 4x2+6x+2y+4.