How to write 2(a-1)+3a-3 as a product of two factors

Question

asked Dec 25, 2024 80.0k views

2 Answers

Wonzbak · Answer 1 · 2024-12-26T06:20:19+0000

The answer is:

Work/explanation:

First, I will distribute 2:

$\rm{2(a-1)+3a-3}$

$\rm{2a-2+3a-3}$

Combine like terms

$\rm{2a+3a-2-3}$

$\rm{5a-5}$

To write this as a product of two factors, we factor out 5:

$\rm{5(a-1)}$

As you can see, we have a product of two factors; we multiply 5 and a - 1.

Muzzlator · Answer 2 · 2025-01-01T05:11:00+0000

Answer:

5(a - 1)

Explanation:

2(a - 1) + 3a - 3 ← distribute parenthesis

= 2a - 2 + 3a - 3 ← collect like terms

= 5a - 5 ← factor out 5 from each term

= 5(a - 1) ← product of two factors