Question

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

Answer 1

x^2 -3x+2

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:)}`