Question

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

Answer 1

(6-y)(x+5)

Answer 2

[AI-generated answer — Explain Bot]

To simplify the expression 6(x+5)-y(x+5), we can start by using the distributive property.

The distributive property states that when you have a term outside parentheses and you want to multiply it by everything inside the parentheses, you need to multiply the term by each term inside the parentheses separately and then combine them.

In this case, we have two terms outside the parentheses: 6 and -y. We will apply the distributive property to each of them separately.

For the first term, 6(x+5), we multiply 6 by each term inside the parentheses:

6 * x = 6x
6 * 5 = 30

So, this simplifies to 6x + 30.

Next, we apply the distributive property to the second term, -y(x+5), by multiplying -y by each term inside the parentheses:

-y * x = -yx
-y * 5 = -5y

This becomes -yx - 5y.

Now we can combine the two simplified terms:

6x + 30 - (yx + 5y)

To simplify further, we can remove the parentheses:

6x + 30 - yx - 5y

Finally, we rearrange the terms in ascending order:

6x - yx + 30 - 5y

And that is the simplified expression.