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Help! which expression is equivalent to 14x + 35 - 21 y​

Help! which expression is equivalent to 14x + 35 - 21 y​-example-1

1 Answer

8 votes

Answer:

7(2x + 5 - 3y)

Explanation:

Looking at the Factors below the question, what do you notice?

I notice that 14, 35 and 21 all have a GCF of 7

With this, we can now start factoring, but before we start, keep in mind that we need to find terms that when multiplied with 7 give us 14x, 35, and -21y.

  • Be careful with the signs ( + and -) when factoring!

14x + 35 - 21y

7(2x + 5 - 3y)

Check you answer to make sure if results in our original expression:

7(2x + 5 - 3y) <== distribute seven

7(2x) + 7(5) + 7(-3y)

14x + 35 - 21y

Therefore, we have correctly factored the expression, and the correct answer is 7(2x + 5 - 3y)

Hope this helps!

User Mahdi Alkhatib
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