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Chapter 5: Problem 11

Add or subtract as indicated. $$\left(4 x^{2} y+8 x y+11\right)+\left(-2 x^{2} y+5 x y+2\right)$$

Short Answer

Expert verified
The simplified form of the given expression is \(2 x^{2} y + 13 x y + 13\).

Step by step solution

01

Identify Like Terms

In the expression, like terms are \(4 x^{2} y\) and \(-2 x^{2} y\), \(8 x y\) and \(5 x y\), and \(11\) and \(2\). Like terms are identified by the same variables and exponents.
02

Perform Addition/Subtraction of Like Terms

Perform the addition or subtraction of like terms discovered in the prior step. Here, this results in \( (4 x^{2} y -2 x^{2} y) + (8 x y + 5 x y) + (11 + 2)\).
03

Simplify the Expression

Simplify the expression by executing the operations. The result is \(2 x^{2} y + 13 x y + 13\).

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