Questions: Multiply. (3x+2)(5x-6)

Multiply. (3x+2)(5x-6)
Transcript text: Multiply. \[ (3 x+2)(5 x-6) \]
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Solution

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Solution Steps

Step 1: Write the Expression

We start with the expression to be multiplied: \[ (3x + 2)(5x - 6) \]

Step 2: Apply the Distributive Property

Using the distributive property (FOIL), we multiply each term in the first binomial by each term in the second binomial:

  • First: \(3x \cdot 5x = 15x^2\)
  • Outer: \(3x \cdot (-6) = -18x\)
  • Inner: \(2 \cdot 5x = 10x\)
  • Last: \(2 \cdot (-6) = -12\)
Step 3: Combine Like Terms

Now, we combine the like terms from the results of the multiplication: \[ 15x^2 + (-18x + 10x) - 12 = 15x^2 - 8x - 12 \]

Final Answer

\(\boxed{15x^2 - 8x - 12}\)

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