Question

Expand and simplify (x - 2)(x - 1)

Answer 1

Answer:

x^2 -3x+2

Step-by-step explanation:

(x - 2)(x - 1)

FOIL

first: x*x = x^2

outer: -1*x = -x

inner: -2*x =-2x

Last: -2*-1 =2

Add together

x^2 -x-2x+2

Combine like terms

x^2 -3x+2

Answer 2

$\huge\textsf{Hey there!}$

$\large\textsf{(x - 2)(x - 1)}$

$\large\textsf{DISTRIBUTE}$

$\large\textsf{x(x) + x(-1) - 2(x) -2(-1)}$

$\large\textsf{x(x) = }\mathsf{\bf x^2}$

$\large\textsf{x(-1) = -1(x) = \bf -1x}$

$\large\textsf{-2(x) = \bf -2x}$

$\large\textsf{-2(-1) = \bf 2}$

$\mathsf{= \bf x^2 - 1x - 2x + 2}$

$\large\textsf{COMBINE the LIKE TERMS}$

$\mathsf{(-1x - 2x)}$

$\mathsf{= \bf -3x}$

$\large\textsf{SOLVE for the ANSWER:}$

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

$\boxed{\boxed{\large\text{Answer: }\mathsf{\bf x^2 - 3x + 2}}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your enjoy your day!}$

~$\frak{Amphitrite1040:)}$