Q. Click and drag like terms onto each other to simplify fully.−6−1+1−3y2−5x3−y2−5x3
Combine Like Terms: First, we will combine like terms. Like terms are terms that have the same variables raised to the same powers. In this expression, we have constants (−6, −1, +1), terms with y2 (−3y2, −y2), and terms with x3 (−5x3, −5x3).
Combine Constants: Now, let's combine the constants: −6−1+1. This simplifies to −6 since −1 and +1 cancel each other out.
Combine y2 Terms: Next, we combine the terms with y2: −3y2−y2. This simplifies to −4y2 because we add the coefficients of y2 together.
Combine x3 Terms: Then, we combine the terms with x3: −5x3−5x3. This simplifies to −10x3 because we add the coefficients of x3 together.
Write Simplified Expression: Finally, we write down the simplified expression by combining all the simplified terms: −6−4y2−10x3.
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