Explain why 2x is a common factor of the three expressions below 4x2, 8xy and 6wx

2x is a common factor because it can be used to dive all three values without a remainder

Step-by-step explanation:

A factor is a number that can divide another number perfectly. That is without anything remaining.

We will now divide each of the expressions by 2x to show that 2 x is a factor of all three expressions

4x2 divided by 2x

In this, 2x will cancel out x2 to give 4 as the answer.

This shows 2x is a factor.

8xy divided by 2x

In this, x will divide x to give 1

2 will divide 8y to give 4y.

This shows 2x is a factor, since there was a perfect division throughout.

6wx divided by 2x

In this, x will divide x to give 1

2 will divide 6w to give 4y.

This shows 2x is a factor, since there was a perfect division throughout.

Therefore, 2x is a common factor of the three expressions below 4x2, 8xy and 6wx

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