Q. Click and drag like terms onto each other to simplify fully.−3+2−2x3+7x2−2y2+7x3−5
Identify Like Terms: First, identify like terms in the expression. Like terms are terms that have the same variables raised to the same powers.In the given expression, −2x3 and 7x3 are like terms because they both have the variable x raised to the power of 3.Similarly, 7x2 is a term on its own because there are no other x2 terms.The −2y2 term is also on its own because there are no other y2 terms.The constants −3, 2, and 7x30 can be combined because they are like terms as well.
Combine x3 Terms: Now, combine the like terms starting with the x3 terms.−2x3+7x3=5x3
Combine Constant Terms: Next, combine the constant terms. −3+2−5=−6
Write Simplified Expression: Since there are no other like terms to combine, we can now write down the simplified expression.The simplified expression is 5x3+7x2−2y2−6.