Q. Click and drag like terms onto each other to simplify fully.5y−5x−4x2+5x3−2x2+x3−2x2
Identify Like Terms: Identify like terms in the expression.Like terms are terms that have the same variables raised to the same powers.In the given expression, the like terms are:−5x and −4x2 and −2x2 and −2x2 are like terms because they all have the variable x raised to the power of 2.5x3 and x3 are like terms because they both have the variable x raised to the power of 3.−4x20 is not a like term with any other term because it is the only term with the variable −4x21.
Combine x3 Terms: Combine the like terms with the variable x raised to the power of 3.5x3+x3=6x3
Combine x2 Terms: Combine the like terms with the variable x raised to the power of 2.−4x2−2x2−2x2=−8x2
Combine x Terms: Combine the like terms with the variable x. There is only one term with the variable x, which is −5x, so it remains unchanged.
Combine y Terms: Combine the like terms with the variable y. There is only one term with the variable y, which is 5y, so it remains unchanged.
Write Simplified Expression: Write down the simplified expression by combining all the terms we have simplified.The simplified expression is 6x3−8x2−5x+5y.
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