Step-by-step explanation:
x2 + 2xn + n2
x2 + xn + xn + n2
x(x + n) + n (x + n)
So (x + n)^2 is the factor
Answer:

Step-by-step explanation:
GIVEN: A bag contains
red
green
orange and
purple candies, without looking Ann pulls one piece of candy out of the bag.
TO FIND: what is the probability that she pulls out a purple piece of candy.
SOLUTION:
Total number of candies in the bag 
Total number of purple candies in the bag 
Now,
Probability that Ann pulls out a purple piece of candy

putting values,


Hence, the probability that she pulls out a purple piece of candy is 
Answer: QF = 5
Step-by-step explanation:
We know that if a triangle has a centroid, the ratio of the longer segment to shorter segment is 2:1. We can set up a proportion
, where x is the length of QF. By cross multiplying and dividing, you get x = 5 or QF = 5.
Each angle of the triangle added together must be equal to 180, so 53+45=98. 180-98=82. So the top angle is 82, the value of x has to be equal to 180-82 which equals 98