Question

X(y+6)-5(y+6)=( )(y+6)

Answer 1

(x - 5)(y + 6)

Explanation:

Hello!

Let's see. Over here we have two sides of an equation with blank space on the right-hand side. It seems that the topic of the question is factoring.

On the left-hand side, we see that 1 factor is common between two other factors (x and -5). To simplify, we can simply add the two values.

x(y + 6) - 5(y - 6) would be the same as (x-5)(y-6) => your answer

We can check if our equation is true.

x( y + 6) - 5(y + 6) = (x-5)(y + 6)

xy + 6x - 5y -30 = xy - 5y + 6x - 30

xy + 6x - 5y - 30 = xy + 6 - 5y - 30

Both equations are the same