Multiply. $$ (3 x+6)(x+5) $$

To multiply the binomials $$ (3x + 6)(x + 5) $$, you can use the **FOIL** method, which stands for **First**, **Outer**, **Inner**, and **Last**. Here's a step-by-step breakdown: ### Step 1: Apply the FOIL Method 1. **First**: Multiply the first terms in each binomial. \[ 3x \times x = 3x^2 \] 2. **Outer**: Multiply the outer terms in the binomials. \[ 3x \times 5 = 15x \] 3. **Inner**: Multiply the inner terms in the binomials. \[ 6 \times x = 6x \] 4. **Last**: Multiply the last terms in each binomial. \[ 6 \times 5 = 30 \] ### Step 2: Combine All the Products Add all the products from the FOIL method together: \[ 3x^2 + 15x + 6x + 30 \] ### Step 3: Combine Like Terms Combine the like terms ($$15x$$ and $$6x$$): \[ 3x^2 + 21x + 30 \] ### Final Result The expanded form of $$ (3x + 6)(x + 5) $$ is: \[ 3x^2 + 21x + 30 \] $$ 3x^2 + 21x + 30 $$

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Home Question Bank Math Algebra

Question

Multiply.

Ask by Hardy Lang. in the United States

Jan 21,2025

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The Deep Dive

To multiply

, we can use the distributive property, also known as the FOIL method for binomials. This means we will multiply each term in the first binomial by each term in the second binomial.

First, we multiply

by each term in

Next, we multiply

by each term in

Now, we combine all these results:

Combine the like terms (

So, the final answer is:

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