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Multiplying two positive binomials = all tiles will turn up positive

Multiplying 1 negative and 1 positive binomial= a row of positive tiles and a row of negative tiles.

Multiplying two negative binomials will end up with all the x squared as positive, the X’es negative and the 1s positive.

Algebraic

Multiplying two positive binomials, where X has a coefficient of 1= Answer will be X squared + sum of two constants + product of two constants.

Ex; (x+2) (x+3) = (X squared + 5X + 6)

Multiplying 1 negative and 1 positive binomial= answer will be product of x’es – product of constants

Ex; (x+2) (x-3) = (X squared – 6)

Multiplying two negatives = Answer will be X squared – sum of two constants + product of two constants.

Ex; (x-2) (x-3) = (X squared -5x + 6)