Question

1) (x – 4)(y + 3); 2) (m – 2)(n –y).

Answer 1

It seems like you've provided two algebraic expressions in the form of binomials. These expressions can be expanded or simplified as needed. Let's expand them:

1. (x - 4)(y + 3):

To expand this expression, you can use the distributive property, also known as FOIL (First, Outer, Inner, Last):

(x - 4)(y + 3) = x(y) + x(3) - 4(y) - 4(3)

Now, multiply each term:

xy + 3x - 4y - 12

So, the expanded form of the expression is:

xy + 3x - 4y - 12

2. (m - 2)(n - y):

Using FOIL:

(m - 2)(n - y) = m(n) - m(y) - 2(n) + 2(y)

Now, multiply each term:

mn - my - 2n + 2y

The expanded form of the expression is:

mn - my - 2n + 2y