Answer:
S(n)=(25/3)n(n+1)(2n+19)
Step-by-step explanation:
sum_(n=1)^k n (6 + n) = 1/6 k (k + 1) (2 k + 19)

This is the equation in general:
substitute n for sum from 1 to n
For sum from k to n, substitute:
S(n)-S(k-1)
Answer:
6.3 Use Pythagorean theorem
Step-by-step explanation:
Answer:
(x² + 4)(x - 3)
or
A
Step-by-step explanation:
Step 1: Write out expression
x³ - 3x² + 4x - 12
Step 2: Factor by grouping
x³ - 3x²
x²(x - 3)
4x - 12
4(x - 3)
Step 3: Combine
(x² + 4)(x - 3)
Answer:
A
Step-by-step explanation:
We take a look at this expression:
and notice that both terms are square numbers.
and
.
There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares
, it can always be factored into
.
Here, we can apply that. In this case, a = 7x and b = 3. So:

Thus, the answer is A.
Hope this helps!