Find the indicated product using the FOIL method. Write the answer in standard form.
left parenthesis 7 x plus 2 right parenthesis left parenthesis x plus 8 right parenthesis(7x+2)(x+8)


To find the product of \((7x + 2)(x + 8)\) using the FOIL method, we apply the following steps:

### FOIL:
- **F (First):** Multiply the first terms of both binomials:  
  \( 7x \cdot x = 7x^2 \)

- **O (Outer):** Multiply the outer terms:  
  \( 7x \cdot 8 = 56x \)

- **I (Inner):** Multiply the inner terms:  
  \( 2 \cdot x = 2x \)

- **L (Last):** Multiply the last terms:  
  \( 2 \cdot 8 = 16 \)

### Combine all the terms:
\[
7x^2 + 56x + 2x + 16
\]

Now, combine like terms:
\[
7x^2 + (56x + 2x) + 16 = 7x^2 + 58x + 16
\]

### Final answer in standard form:
\[
7x^2 + 58x + 16
\]

Let me know if you'd like further details or have any questions!

Here are 5 related questions for practice:
1. Expand \((4x + 3)(x + 5)\) using the FOIL method.
2. Multiply \((3x - 2)(x + 7)\) using the FOIL method.
3. What is the result of \((2x + 1)(3x - 4)\)?
4. Use FOIL to expand \((x + 6)(x - 9)\).
5. Expand and simplify \((5x + 2)(2x + 3)\).

**Tip:** When using the FOIL method, always remember to combine like terms for the final result!

Find the indicated product using the FOIL method. Write the answer in standard form. (7x+2)(x+8)

Learn how to expand the binomial product (7x+2)(x+8) using the FOIL method. This detailed explanation includes steps to apply the distributive property and combine like terms, resulting in the final quadratic expression 7x^2 + 58x + 16. Ideal for Grades 8-10 students studying algebra and polynomials.

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