Question

x(x – y) + 5(y – x) is equal to ______.

Options

• (x – y) (x + 5)

• (x – y) (5 – x)

• (x – y) (x – 5)

• (x + y) (x – 5)

Answer 1

x(x – y) + 5(y – x) is equal to (x – y) (x – 5).

Explanation:

Let’s simplify the given expression:

x(x – y) + 5(y – x)

First, distribute the terms:

x(x – y) = x² – xy

5(y – x) = 5y – 5x

Now, combine the terms:

x² – xy + 5y – 5x

Now, factor out (x – y) from the expression:

(x – y) (x – 5)

So, the factorised form is (x – y) (x – 5)