Question Video: Factoring by Finding the Highest Common Factor | Nagwa Question Video: Factoring by Finding the Highest Common Factor | Nagwa

# Question Video: Factoring by Finding the Highest Common Factor Mathematics • First Year of Preparatory School

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Using the diagram, factor 4π₯ + 12.

01:12

### Video Transcript

Using the diagram, factor four π₯ plus 12.

This diagram has images that reflect four π₯ and 12. The diagram on the right-hand side has combined the two images. And itβs taken the bar of size 12 and divided it into four evenly sized pieces. We know that 12 divided by four equals three. This diagram has removed a factor of four from the 12 and from the four π₯. 12 divided by four equals three. And four π₯ divided by four equals π₯.

We see that four times π₯ plus four times three equals four π₯ plus 12. These are equivalent expressions. And so, we can say that four π₯ plus 12 is equal to four times π₯ plus three. We can also say that the highest common factor of four π₯ and 12 is four. We have undistributed the highest common factor from these two terms to give us four times π₯ plus three.

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