Factorise the Expression: Finding Common Factors in 20ab-4ac

Question

Factorise:

20ab4ac 20ab-4ac

Video Solution

Solution Steps

00:00 Find a common factor
00:04 Factor 20 into factors 4 and 5
00:13 Mark the common factors
00:22 Take out the common factors from the parentheses
00:33 And this is the solution to the question

Step-by-Step Solution

We first break down the coefficient of 20 into a multiplication exercise. That will help us to simplify the calculation :5×4×a×b4×a×c 5\times4\times a\times b-4\times a\times c

We then extract 4a as a common factor:4a(5×bc)=4a(5bc) 4a(5\times b-c)=4a(5b-c)

Answer

4a(5bc) 4a(5b-c)