To simplify the equation 3(5 + 2x), the distributive factor must be used, so the number outside the bracket (3), must be distributed (or multiplied) with each of the terms inside the brackets (5 and 2x) and then simplify
<span>3(5 + 2x)
</span>3(5) + 3(2x)
15 + 6x
Answer:
C, 3y(2y+9)
Step-by-step explanation:
you can factor out a 3 from both 6 and 27, as well as a y from both so you would put them on the outside as shown in C. Hope that helped! Let me know if you need more of an explanation, and id be happy to help!
6y^2+27y
6 and 27 both have a common factor, meaning that the same number can go in to them both, 3. Because both 6 and 27 have a y, you are able to also take out a y so outside would be 3y.
so the answer is 3y(2y+9)
When you simplify a fraction, remember to perform the same operation on both the numerator and the denominator, and that there may not be a decimal or a fraction as a numerator or denominator.
You could always start by dividing with the largest common factor that you can recall off the top of your head. I'll use 10 as an example.
650/10 = 65. 1000/10 = 100.
You have now simplified the fraction down to 65/100. But wait! You can simplify this fraction down further. I'll use 5 now. 65/5 = 13. 100/5 = 20. You have simplified it down to 13/20. Because you know that 13 is a prime number, you know you have written the fraction in simplest form.
Hope that helped you!
(Hint: Use divisibility rules to help you divide faster.)
