Question

Using the FOIL method, find the product of x - 2 and x - 3 .

Answer 1

`\boxed{ {x}^(2) - 5x + 6}`

Explanation:

`\mathsf{(x - 2)(x - 3)}`

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )

`\mathsf{x×x - 3x - 2x - 2 × ( - 3 )}`

Calculate the product

`\mathsf{ {x}^(2) - 3x - 2x - 2 * (- 3)}`

Multiply the numbers

`\mathsf{ {x}^(2) - 3x - 2x + 6 }`

Collect like terms

`\mathsf{ {x}^(2) - 5x + 6}`

Hope I helped!

Best regards!

Answer 2

FOIL = first, outside, inside, last
(x - 2)(x - 3)
x^2 -3x - 2x + 6
x^2 - 5x + 6