Question

question
distribute $5x(2 + 3x)$.
answer attempt 1 out of 2

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c)=ab+ac\). Here, \(a = 5x\), \(b = 2\) and \(c=3x\). So we multiply \(5x\) with \(2\) and \(5x\) with \(3x\) separately.
\(5x\times2+5x\times3x\)

Step2: Simplify each term

For the first term, \(5x\times2 = 10x\). For the second term, \(5x\times3x=15x^{2}\) (using the rule \(x^{m}\times x^{n}=x^{m + n}\), here \(m = 1\) and \(n = 1\) for \(x\) terms, and \(5\times3 = 15\)).
Combining these two terms, we get \(10x + 15x^{2}\).

Answer:

\(10x + 15x^{2}\)