Question

When factoring x2 – 3xy + 2y2 by grouping the first step can be:

Question 7 options:

x2 – 4xy + xy + 2y2


x2 – 2xy – xy + 2y2


x2 – 3xy + xy + 2y2


x2 + 2xy - 5xy + 2y2

Answer 1

x^2 – 3xy + 2y^2

Explanation:

Factor the following:

x^2 - 3 x y + 2 y^2

Hint: | Factor the quadratic x^2 - 3 x y + 2 y^2.

The factors of 2 that sum to -3 are -1 and -2. So, x^2 - 3 x y + 2 y^2 = (x - 1 y) (x - 2 y):

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