Question

question 1
1 pts
x ( 3x + 5) = ___
a. 3x² + 5x
b. 8x
c. 3x² + 5
d. 6x + 5
d
c
b
a

Explanation:

Step1: Apply distributive property

Using the distributive property \(a(b + c)=ab+ac\), here \(a = x\), \(b = 3x\), \(c = 5\). So \(x(3x + 5)=x\times3x+x\times5\)

Step2: Simplify each term

Simplify \(x\times3x\) to \(3x^{2}\) (since \(x\times x=x^{2}\)) and \(x\times5\) to \(5x\). So combining these, we get \(3x^{2}+5x\)

Answer:

A. \(3x^{2}+5x\)