Answer:
The fifth term of the binomial expansion
![T_{5} = 70 x^{8} y^{20}](https://tex.z-dn.net/?f=T_%7B5%7D%20%3D%2070%20x%5E%7B8%7D%20y%5E%7B20%7D)
Step-by-step explanation:
<u><em>Step:1</em></u>
Given that the binomial expansion
( x² + y⁵ )⁸
we know that
...(i)
<u><em>Step:2</em></u>
put r = 4
![T_{4+1} = 8_{c_{4} } (x^{2} )^{4} (y^{5} )^{8-4}](https://tex.z-dn.net/?f=T_%7B4%2B1%7D%20%3D%208_%7Bc_%7B4%7D%20%7D%20%28x%5E%7B2%7D%20%29%5E%7B4%7D%20%28y%5E%7B5%7D%20%29%5E%7B8-4%7D)
![T_{5} = 70 x^{8} y^{20}](https://tex.z-dn.net/?f=T_%7B5%7D%20%3D%2070%20x%5E%7B8%7D%20y%5E%7B20%7D)
<u><em>Final answer:</em></u>-
The fifth term of the binomial expansion
![T_{5} = 70 x^{8} y^{20}](https://tex.z-dn.net/?f=T_%7B5%7D%20%3D%2070%20x%5E%7B8%7D%20y%5E%7B20%7D)
A unit fraction means that the fraction has 1 in the numerator. To make 3/8 a unit fraction, you have to make it 1/8 by dividing by 3.
So now you have 3 x 3 x 1/8. You can multiply the 3 and 3.
You are left with 9 x 1/8.
Answer:
22.5
Step-by-step explanation:
You just have to do 60 divided by 2.66 (The decimal form of 2/3) and then you have your answer PLEASE BRAINLIEST
Answer:
54y² +255y +300
Step-by-step explanation:
Such an expression is simplified by eliminating parentheses and combining like terms.
<h3>Eliminate parentheses</h3>
Taking the given expression at face value, we have ...
{2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)
= {6y +12 +12 +3y}(6y +12) +12 +3y
= (9y +24)(6y +12) +12 +3y
= (9y)(6y +12) +24(6y +12) +12 +3y
= 54y² +108y +144y +288 +12 +3y
<h3>Combine like terms</h3>
= 54y² +(108 +144 +3)y +(288 +12)
= 54y² +255y +300
Answer:
Calculator doesn’t exist anymore?
Step-by-step explanation: