Question

binomials using the foil method. combine like terms.

\\(2x - 1)(7x + 6)\\

Explanation:

Identify the expression and method

We are given the product of two binomials:

$$ (2x - 1)(7x + 6) $$

We will multiply these binomials using the FOIL Method.

Multiply the First terms

Using the FOIL Method and Polynomial Multiplication:
Multiply the first terms of each binomial:

$$ (2x) \cdot (7x) = 14x^2 $$

Multiply the Outer terms

Using the FOIL Method and Polynomial Multiplication:
Multiply the outer terms:

$$ (2x) \cdot (6) = 12x $$

Multiply the Inner terms

Using the FOIL Method and Polynomial Multiplication:
Multiply the inner terms:

$$ (-1) \cdot (7x) = -7x $$

Multiply the Last terms and combine

Using the FOIL Method and Polynomial Multiplication:
Multiply the last terms:

$$ (-1) \cdot (6) = -6 $$

Now, combine all the terms:

$$ 14x^2 + 12x - 7x - 6 $$

Group and simplify the middle like terms:

$$ 14x^2 + 5x - 6 $$

Answer:

Multiply the binomials using the FOIL method. Combine like terms.

$$ (2x - 1)(7x + 6) = $$

<blank>\(14x^2 + 5x - 6\)</blank>