Evaluate the Algebraic Expression

MathematicsAlgebraic ExpressionsEasy

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$x = 5$ $y = -3$ . 5. $(xy - y)^2 - 4(x - 2y) =$

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1
Step 1

Hi Ali, let's solve this expression together by substituting the given values.

Problem Setup

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Step 2

We are given that x equals five and y equals negative three. We need to evaluate the expression, starting with these substitutions.

$$ (xy - y)^2 - 4(x - 2y)$$
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Step 3

Let's substitute x equals five and y equals negative three into the first part, x times y minus y.

$$((5)(-3) - (-3))^2$$
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Step 4

Inside the parentheses, five times negative three is negative fifteen. Subtracting negative three is the same as adding three.

$$(-15 + 3)^2$$
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Step 5

Negative fifteen plus three is negative twelve. So, the first part is negative twelve squared, which equals one hundred forty-four.

$$= 144$$
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Step 6

Now, let's focus on the second part of the expression: four times the quantity x minus two y.

$$4(x - 2y)$$
$$4(5 - 2(-3))$$

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About This Question

Subject
Mathematics
Topic
Algebraic Expressions
Difficulty
Easy
Question Type
Open Ended

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