Combining like terms, 12x^2 y - 8x^2 y^2 + 11x^2 y - 4x^3 y^2 - 9xy^2

The video tutorial explains how to combine like terms in algebraic expressions. It begins by introducing the concept of like terms, which are terms with the same variable factors. The instructor demonstrates how to identify and combine these terms by adding their coefficients while keeping the variable factors unchanged. The tutorial includes examples to illustrate the process and concludes with a final solution, emphasizing the importance of recognizing like terms and correctly combining them.

What is the first step in combining like terms?

• Subtract the terms

• Identify terms with the same variable factors

• Multiply the terms

• Add all coefficients together

Which of the following pairs of terms can be combined?

• X^3Y^2 and X^2Y^2

• XY^2 and X^3Y^2

• X^2Y and X^2Y

• X^2Y and X^2Y^2

What should you do if terms have different variable factors?

• Combine them anyway

• Ignore them

• Add their coefficients

• Multiply their coefficients

How do you combine terms with the same variable factors?

• Divide the coefficients

• Add the coefficients

• Subtract the coefficients

• Multiply the coefficients

What remains unchanged when combining like terms?

• The entire expression

• The exponents

• The variable factors

• The coefficients