Question

problem
distribute this expression and select the simplified answer.
$7x^2(x + 3)$
after you pick your answer press go.
a. $7x^3 + 10x^2$ b. $7x^3 + 3$
c. $21x^3$ d. $7x^3 + 21x^2$
e. $7x^2 + x + 3$
go

Explanation:

Step1: Apply distributive property

Using the distributive property \(a(b + c)=ab+ac\), where \(a = 7x^{2}\), \(b=x\), and \(c = 3\), we get \(7x^{2}\times x+7x^{2}\times3\).

Step2: Simplify each term

For the first term, using the rule \(x^{m}\times x^{n}=x^{m + n}\), \(7x^{2}\times x=7x^{2 + 1}=7x^{3}\). For the second term, \(7x^{2}\times3 = 21x^{2}\).

Step3: Combine the terms

Combining the two simplified terms, we have \(7x^{3}+21x^{2}\).

Answer:

D. \(7x^{3}+21x^{2}\)