Q. Click and drag like terms onto each other to simplify fully.5x−6y+5+6y−y
Identify Like Terms: First, identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power.In the expression 5x−6y+5+6y−y, the like terms are:−6y and 6y, which are like terms because they both contain the variable y.−y is also a like term with −6y and 6y.5 is a constant term and does not have a like term in this expression.
Combine Like Terms: Combine the like terms by adding or subtracting them.−6y+6y=0 (since they are additive inverses of each other)−6y+6y−y=0−y=−ySo, −6y+6y−y simplifies to −y.
Combine Simplified Terms: Now, combine the simplified like terms with the remaining terms in the expression.The expression now is 5x+(−y)+5.Since there are no like terms left to combine, this is the simplified expression.
Check Final Expression: Check the final expression for any remaining like terms or possible simplifications.The final expression is 5x−y+5, and there are no like terms left to combine.