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Chapter 5: Problem 27

Find each product. $$\left(5 x^{2} y\right)(8 x y)$$

Short Answer

Expert verified
The product of the expressions \(5 x^{2} y\) and \(8 x y\) is \(40x^{3}y^{2}\)

Step by step solution

01

Multiply the Coefficients

The coefficients of the terms in the expressions are 5 and 8. The product of 5 and 8 is 40.
02

Multiply the Like Terms

The like terms in the expression are \(x^{2}\) from the first term and \(x\) from the second term. The product of \(x^{2}\) and \(x\) is \(x^{3}\). \nMoreover, the term \(y\) appears in both expressions, when multiplied to each other the result is \(y^{2}\).
03

Collect and Write the Result

Multiply the result of the coefficients in step 1 to the result of the variable terms in step 2. That is \(40x^{3}y^{2}\)

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Most popular questions from this chapter

Use a vertical format to find each product. $$\begin{array}{r}n^{4}-n^{3}+n^{2}-n+1 \\\2 n+3 \\\\\hline\end{array}$$

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