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Chapter 0: Problem 3

\((2 x-y) y\)

Short Answer

Expert verified
The simplified expression is \(2xy - y^2\).

Step by step solution

01

Identify the distributive property

The distributive property of multiplication over addition and subtraction is as follows: \(a(b + c) = ab + ac\) or \(a(b - c) = ab - ac\). In our case, we have the expression \((2x - y)y\). We can treat \(2x\) and \(-y\) as the terms inside the parentheses that need to be distributed. Step 2: Distribute 'y' to both terms inside the parentheses
02

Distribute 'y' to both terms inside the parentheses

Now, we will distribute the 'y' to both terms inside the parentheses: \[y(2x) - y(y)\] Step 3: Perform multiplication
03

Perform multiplication

Perform the multiplication operations with the terms: \[ 2xy - y^2\] Final Expression: \[2xy - y^2 \]

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Most popular questions from this chapter

\(\left(x^{3}+1\right) \sqrt{x+1}-\left(x^{3}+1\right)^{2} \sqrt{x+1}\)

\((x+y-x y)^{2}\)

Calculate each expression in Exencises giving the answer as \(a\) whole mumber or a fraction in lowest terms.\(1-3 \cdot(-2)^{2} \times 2\)

By any method, determine all possible real solutions of each equation Check your answers by substitution. \(x^{2}+x+1=0\)

\((3 x+1)\left(2 x^{2}-x+1\right)\)
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