like for the first one:

(x-2)(x-3) there are 4 parts to this:

FIRST’s (X, X)

OUTER’s ( X, -3)

INNER’S ( -2 , x )

LAST’s (-2, -3)

you need to multiply those:

x^2 – 3x – 2x + 6 — combine like terms:

x^2 – 5x + 6 <-- final answer. 2. (x-6)(x+2) x^2 - 6x + 2x - 12 -- combine like terms: x^2 - 4x - 12 <-- final answer. 3. (2x+1)(x+2) 2x^2 + 1x + 4x + 2 -- combine like terms: 2x^2 + 5x + 2 <-- final answer. 4. (3x-2)(x+5) 3x^2 - 2x + 15x - 10 -- combine like terms: 3x^2 + 13x + 10 <-- final answer. 5. (2x+1)(2x+1) 4x^2 + 2x + 2x + 1 -- combine like terms: 4x^2 + 4x + 1 <-- final answer. if you need more help, i found a site for you:

so for (x-2) (x-3)

you multiply x * x + (-2 * x) + (x * -3) + (-2 * -3) = x^2 -5x +6

(2x+1)(x+2)

2x times x = 2x^2

2x times 2 = 4x

1 times x = x

1 times 2 = 2

2x^2 + 5x + 2