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

Question

Insert the corresponding expression:

$\left(y\times x\right)^2=$

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

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

The power of a product rule states:

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

$(y \times x)^2 = y^2 \times x^2$

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

$y^2\times x^2$