Question

multiply 3x(2x - 1) by following these steps:
step 1: drag tiles to the section labeled factor 1 to represent the factor 3x.
step 2: drag tiles to the section labeled factor 2 to represent the factor 2x - 1.
step 3: complete the model by dragging tiles to create a rectangle in the section labeled product that represents the product of these factors.
check
product

Explanation:

Step 1: Apply the distributive property

The distributive property states that \(a(b + c)=ab+ac\). Here, \(a = 3x\), \(b=2x\), and \(c=-1\). So, \(3x(2x - 1)=3x\times2x+3x\times(- 1)\)

Step 2: Calculate each product

• For \(3x\times2x\), using the rule of exponents \(x^m\times x^n=x^{m + n}\) (where \(m = 1\) and \(n = 1\) for \(x\) terms), we have \(3\times2\times x^{1+1}=6x^{2}\)
• For \(3x\times(-1)\), we get \(-3x\)

Answer:

\(6x^{2}-3x\)