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Factor the expression completely -15t - 6

User Tedtoal
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6.5k points

2 Answers

3 votes
-3(5t+2)

factorise with the highest common factor of -3
User StefanHa
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5.6k points
3 votes
Hey. Let me help you on this one.

If we want to factor this expression, we need to follow certain procedures. I will be attaching an image with the work that was done in order to reach the factored equation. Make sure you look over it since it will contain material that might help you in your studies.

Let's rewrite all the known variables. For this, we need to know two variables that make up both 6, and 15.

We can multiply three and two together, and get 6 as the result. Since it fits, let's use it.

We will also rewrite 15 as three and five, since multiplying those two numbers will grant us 15. Let's fully rewrite the expression, and see if there is anything else needed.


-3\cdot \:5t-3\cdot \:2

Awesome! All that's left for us is to finish it off by finding GCF, and factoring the expression out with it. The greatest common factor of this expression is -3, and that's why it will be used.


-3\left(5t+2\right)

Awesome! We have factored out the expression fully. Make sure to review the image I will have attached.

Answer:
-3\left(5t+2\right)
Factor the expression completely -15t - 6-example-1
User Pavan Pyati
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6.0k points