Step-by-step explanation:
Given: (a+b)²
To prove: (a+b)² = a² + 2ab + b²
Proof:-
(a+b)² = (a+b)(a+b)
(a+b)²=a(a+b)+b(a+b)
(a+b)² = a²+ab+ab+b²
(a+b)² = a²+2ab+b².
Answer:
Which two expressions?
Step-by-step explanation:
The formula for the general term of the sequence is Tn = 4n - 2
<h3>How to determine the formula?</h3>
The sequence is given as:
{2, 6, 10, 14, 18, . . . }
The above sequence is an arithmetic sequence with the following features:
- First term, a = 2
- Common difference, d = 4 i.e. 6 - 2
The formula for the general term is calculated using:
Tn = a + (n - 1) * d
This gives
Tn= 2 + (n - 1) * 4
Expand
Tn = 2 + 4n - 4
Evaluate the like terms
Tn = 4n - 2
Hence, the formula for the general term of the sequence is Tn = 4n - 2
Read more about sequence at:
brainly.com/question/21961097
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The surface area of a cube is simply the area of one face multiplied by 6, since all of the 6 faces are exactly the same, therefor:
Surface area = 5*5*6 = 150 ft^2
Answer:
1716
Step-by-step explanation:
We can use nCr equation to find this
n=13
r=7