Math Problem Statement

Simplify by combining like terms. 11 y plus 7 y minus 7 y squared minus 8 y squared Question content area bottom Part 1 11 y plus 7 y minus 7 y squared minus 8 y squaredequals   

Solution

To simplify by combining like terms, we need to group the terms with the same variables and powers together:

  1. Combine the yy-terms: 11y+7y=18y11y + 7y = 18y.
  2. Combine the y2y^2-terms: 7y28y2=15y2-7y^2 - 8y^2 = -15y^2.

Thus, the simplified expression is:

18y15y218y - 15y^2

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you add or subtract polynomials with multiple variables?
  2. What are like terms, and how do you identify them in an expression?
  3. How do you simplify an expression with different powers of the same variable?
  4. What is the significance of combining like terms in solving equations?
  5. How can this simplification help when solving equations?

Tip: Always look for terms with the same variables raised to the same powers when combining like terms.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Combining Like Terms

Formulas

Combining like terms: ax + bx = (a + b)x

Theorems

None specific, but based on polynomial simplification rules

Suitable Grade Level

Grades 6-8