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

Factorise:

20ab−4ac 20ab-4ac

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

Factorise:

20ab−4ac 20ab-4ac

2

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×b−4×a×c 5\times4\times a\times b-4\times a\times c

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

3

Final Answer

4a(5b−c) 4a(5b-c)

Practice Quiz

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Break down the expression into basic terms:

\( 4x^2 + 6x \)

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