Question

Factor completely, then place the factors in the proper location on the grid. y^2 - xy - 56x^2

Options:
a) (y - 8x)(y + 7x) and (y + 8x)(y - 7x)
b) (y + 8x)(y - 7x) and (y - 8x)(y + 7x)
c) (y + 7x)(y - 8x) and (y - 7x)(y + 8x)
d) (y - 7x)(y + 8x) and (y + 7x)(y - 8x)

Answer 1

To factor the expression y^2 - xy - 56x^2, use the FOIL method and consider the coefficient of y^2. The correct factors are (y - 8x)(y + 7x) and (y + 8x)(y - 7x).

Step-by-step explanation:

To factor the expression y^2 - xy - 56x^2, we need to find two binomials that multiply to give us the given expression. To do this, we can use the FOIL method.

First, we need to consider the coefficient of y^2, which is 1. Since the expression has a negative middle term, we can look for two binomials with a difference as their first terms. The factors that satisfy this condition are (y - 8x) and (y + 7x).

Therefore, the correct answer is (y - 8x)(y + 7x) and (y + 8x)(y - 7x) (option a).