Question

Factor the common factor out of each expression.13) 50k + 2014) 40b-25

Answer 1

13. 10(5k+2)

14. 5(5b-5)

Step-by-step explanation:

Part 1

`50k+20`

The common factor of 50k and 20 is 10. Therefore, the factored expression is:

`\begin{gathered} 50k+20=10\mleft((50k)/(10)+(20)/(10)\mright) \\ =10(5k+2) \end{gathered}`

Part 2

`40b-25`

The common factor of 40b and 25 is 5. Therefore, the factored expression is:

`\begin{gathered} 40b-25=5\mleft((40b)/(5)-(25)/(5)\mright) \\ =5(8b-5) \end{gathered}`