Question

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

Answer 1

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

Answer 2

Answer:

$\boxed{ {x}^{2} - 5x + 6}$

Step-by-step 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

$\mathsf{ {x}^{2} - 3x - 2x - 2 \times (- 3)}$

Multiply the numbers

$\mathsf{ {x}^{2} - 3x - 2x + 6 }$

Collect like terms

$\mathsf{ {x}^{2} - 5x + 6}$

Hope I helped!

Best regards!