Answer:
6x² + 9x + 2
Step-by-step explanation:
The pool is a square with a side length of 2x.
The area of the pool = length * length = 2x * 2x = 4x²
The area of the deck surrounding the pool has length of 2x + 1 and width of 5x + 2. Therefore:
The area of the deck surrounding the pool = length * width = (2x + 1)(5x + 2) = 10x² + 4x + 5x + 2 = 10x² + 9x + 2
Area of the deck only = area of the deck surrounding the pool - area of pool = (10x² + 9x + 2) - 4x²
Area of the deck only = 6x² + 9x + 2
Factor
36-n^2 is difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
6^2-n^2=(6-n)(6+n)
factor
n^2+16n+60
find what 2 numbers multiply to 60 and add to 16
factors of 60=2,2,3,5
the numbers are 10 and 6
so factored out
(x+6)(x+10)
(x+6)=(6+x)
so the equation is
[(x+6)(x+10)]/[(6+x)(6-x)]=[(6+x)/(6+x)] times (x+10)/((6-x)=1 times (x+10)/(6-x)
the answer is (x+10)/(6-x)
Answer:
Two car companies compete to make the cheapest electric car.
Step-by-step explanation:
