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Which is the factor of 15xy-45x-6y+18?

User Sobri
by
8.0k points

1 Answer

1 vote

Answer:

3 (5 x - 2) (y - 3)

Explanation:

Factor the following:

15 x y - 6 y - 45 x + 18

Hint: | Factor out the greatest common divisor of the coefficients of 15 x y - 6 y - 45 x + 18.

Factor 3 out of 15 x y - 6 y - 45 x + 18:

3 (5 x y - 2 y - 15 x + 6)

Hint: | Factor pairs of terms in 5 x y - 2 y - 15 x + 6 by grouping.

Factor terms by grouping. 5 x y - 2 y - 15 x + 6 = (5 x y - 2 y) + (6 - 15 x) = y (5 x - 2) - 3 (5 x - 2):

3 y (5 x - 2) - 3 (5 x - 2)

Hint: | Factor common terms from y (5 x - 2) - 3 (5 x - 2).

Factor 5 x - 2 from y (5 x - 2) - 3 (5 x - 2):

Answer: 3 (5 x - 2) (y - 3)

User Aks Jacoves
by
7.8k points

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