Write the expression 6a-2 (a-1) in simplest form

The equation was broken down and the simplest form was found out to be

3a²-4a+1=0

Step-by-step explanation:

This question seeks to expand your knowledge in simple Algebraic multiplication manipulations

We will tackle this with a step by step approach

Step one

Given the expression 6a-2(a-1)

Let's open up the bracket to find out what's in for us

6a-2(a-1)= 6a*a-6a*1-2*a+2*1

=6a²-6a-2a+2

=6a²-8a+2

We can further break up this equation by Factoring out a common factor which is 2

2(3a²-4a+1)=0

2=0

Or

(3a²-4a+1)=0