Question

10xy – 4y – 6 + 15x is equal to ______.

Options

• (2y – 3) (5x + 2)

• (5x – 2) (2y + 3)

• (2 – 5x) (2y + 3)

• (2x – 5) (3y – 2)

Answer 1

10xy – 4y – 6 + 15x is equal to (5x – 2) (2y + 3).

Explanation:

Let’s simplify and factorise the given expression:

10xy – 4y – 6 + 15x

Step 1: Group terms

(10xy + 15x) + (–4y – 6)

Step 2: Factor each group

5x(2y + 3) – 2(2y + 3)

Step 3: Factor out the common factor (2y + 3)

(5x – 2) (2y + 3)

So the factorization is (5x – 2) (2y + 3)