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
To get to know who will reach fast we need to compare the speed of Andre and Yazmeen.
speed=distance/time
Andre's speed will be:
Distance=11 miles
time=12 min
speed=11/12=0.92 miles/min
Yazmeen's speed:
distance=26 miles
time=24min
speed=26/24=1.08 miles/min
From above calculation we conclude that Yazmeen will reach first because she was traveling at a faster speed that Andre
Answer:
it C Just took the test
Step-by-step explanation:
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1. 16/9 simplified
2. 99/6= 33/2
3.4/9 simplified
4. 6/4= 3/2
5. 6/13 simplified
