Add the Polynomials $$\left( 12 x ^ { 2 } y - 10 x y + 11 \right) + \left( - 11 x ^ { 2 } y + 4 x y - 6 \right)$$

question 23

Multiple Choice

Add the polynomials. Assume all variable exponents represent whole numbers.
- $$\left( 12 x ^ { 2 } y - 10 x y + 11 \right) + \left( - 11 x ^ { 2 } y + 4 x y - 6 \right)$$

• A) \(x ^ { 2 } y - 6 x y + 5\)
• B) \(23 x ^ { 2 } y + 14 x y + 17\)
• C) \(- x ^ { 2 } y - 14 x y + 17\)
• D) \(- 6 x ^ { 3 } y ^ { 2 } + 5\)

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Definitions:

Simple Interest

Interest estimated only on the starting sum, not accounting for any compounding effects.

Evaluate

To determine or set the value or amount of; appraise.

Simplify

The act of simplifying a math expression or equation to its most basic version.

Like Terms

Like terms are terms in an algebraic expression that have the same variables raised to the same power, which can be combined by adding or subtracting their coefficients.