We want to expand (2x + y²)⁵.
From Pascal's Triangle (shown below), the coefficients of the expansion are
1,5,10,10,5,1.
n=0: 1
n=1: 1 1
n=2: 1 2 1
n=3: 1 3 3 1
n=4: 1 4 6 4 1
n=5: 1 5 10 10 5 1
Therefore the third term in the expansion is
10*(2x)³*(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Alternatively, the third term is
₅C₃ (2x)³(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Answer: 80x³y⁴
1 acre = 43560 square feet
43560 = 484 * X
X=43560/484 = 90
the width = 90 feet
% change = 100x (final-initial)
——————
Initial
Answer:
12 units
Step-by-step explanation:
B - A = (7, 8) - (-5, 8) = (7 -(-5), 8 -8) = (12, 0)
The distance is then ...
d = √(12² + 0²) = √12²
d = 12
_____
Of course, when you graph these points (actually or mentally), you can see that they are 12 units apart on the line y=8. You don't need to do any fancy calculation to discover the difference between -5 and 7.
4=-2(x-3)
divide both sides by 2
2=-(x-3)
remove parentheses
2=-x+3
move terms
2+x=3
subtract numbers
x=3-2
x=1
