Respuesta :

Hi there!

In this problem we need to distribute the binomials.

(3a-5b)(a-b)    A common method for distributing binomials is FOIL

3a x a = 3a^2  FOIL = First, Outer, Inner, Last

3a x (-b) = -3ab  We distribute 3a into all other terms besides -5b

-5b x a = -5ab   Then distribute -5b into all other terms besides 3a

-5b x -b = 5b^2  It becomes a positive since we multiply two negatives

3a^2 -3ab -5ab +5b^2   Combine like terms

3a^2 - 8ab +5b^2          Then you get a trinomial :)

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