Question

problem 15
distribute in this expression and select the simplified answer.
$5x(x^2 + 2)$
after you pick your answer press go.
a. $10x^3$ b. $5x^3 + 10x$
c. $5x^3 + 7x$ d. $x^2 + 5x + 2$
e. $5x^3 + 2$

Explanation:

Step1: Apply distributive property

Using the distributive property \(a(b + c)=ab+ac\), where \(a = 5x\), \(b=x^{2}\), and \(c = 2\), we get:
\(5x\times x^{2}+5x\times2\)

Step2: Simplify each term

For the first term, using the rule \(x^{m}\times x^{n}=x^{m + n}\), \(5x\times x^{2}=5x^{1+2}=5x^{3}\).
For the second term, \(5x\times2 = 10x\).

Step3: Combine the terms

Combining the simplified terms, we have \(5x^{3}+10x\).

Answer:

B. \(5x^{3}+10x\)