Expand the Expression: Simplifying (y×x)² Step-by-Step

Insert the corresponding expression:

(y×x)2= \left(y\times x\right)^2=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Simplify the following problem
00:03 In order to open parentheses with a multiplication operation and an outside exponent
00:06 We'll raise each factor to the power
00:10 We'll apply this formula to our exercise
00:16 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Insert the corresponding expression:

(y×x)2= \left(y\times x\right)^2=

2

Step-by-step solution

To solve this problem, we will apply the power of a product rule to the expression (y×x)2 (y \times x)^2 .

The power of a product rule states:

  • (a×b)n=an×bn(a \times b)^n = a^n \times b^n

In this case, the product is y×x y \times x , and the power is 2. Applying the power of a product rule gives us:

(y×x)2=y2×x2(y \times x)^2 = y^2 \times x^2

Therefore, the expanded form of the given expression is y2×x2\mathbf{y^2 \times x^2}.

3

Final Answer

y2×x2 y^2\times x^2

Practice Quiz

Test your knowledge with interactive questions

\( (4^3)^2= \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Exponents Rules questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations