<h3>
Answer: x+4</h3>
This is because the given expression factors to (x+4)(x+4), which condenses to (x+4)^2.
To factor, think of two numbers that A) multiply to 16, and B) add to 8. Those values would be 4 and 4
4+4 = 8
4*4 = 16
So that's how we end up with (x+4)(x+4). You can use the FOIL rule to expand that out and get x^2+8x+16 again to help verify you have the correct factorization.
Hey there! I'm happy to help!
First, let's multiply the numerators. We will put q+5 in parentheses so we can multiply it by 4q.
4q(q+5)
We use the distributive property to undo the parentheses.
First, we multiply 4q by q.
4q×q=4q²
And we multiply 4q and 5.
4q×5=20q
So, our numerator right now is 4q²+20q.
Now, for the denominators.
2(q+4)
We do 2 by q.
2×q=2q
And 2×4, which is 8.
So, our denominator is 2q+8.
Right now, our fraction is
, and this is your correct answer. However, we can simplify it a bit more. We can divide the 4 by 2, q² by q, and simplify the 20 and the 8.
4/2=2
q²/q=q
20/8=5/2
Now, our final product is (2q+5)/2
But, mark down your answer as
because that is technically correct.
Have a wonderful day! :D
360 - 20 + 2x = 360
340 + 2x = 360
2x = 20
x = 10
I think a picture should be provided to get more insight on this question
The answer is 39 and 1/50