Answer:

1. 1x² - 3x + 2

2. x² + 14x + 45

3. x² + 3x - 54

Step-by-step explanation:

1.

(x-2)(x-1) use foil method

(x)(x) = x²

(x)(-1) = -x

(-2)(x) = -2x

(-1)(-2) = 2

= x²- x - 2x + 2

2.

(x+5)(x+9) foil method

(x)(x) = x²

(x)(9) = 9x

(5)(x) = 5x

(5)(9) = 45

= x² + 9x + 5x + 45

3.

(x-6)(x+9)

(x)(x) = x²

(x)(9) = 9x

(-6)(x) = -6x

(-6)(9) = -54

= x² + 9x - 6x -54