Answer:
8a^3.
Step-by-step explanation:
(a+b)^3=a^3+b^3+3a^2b+3ab^2
(a-b)^3=a^3-b^3-3a^2b+3ab^2
(a+b)^3+(a-b)^3=2a^3+6ab^2
According to the question
(a+b)^3+(a-b)^3+6a(a^2-b^2)
Put in the value
=2a^3+6ab^2 +6a^3–6ab^2
=8a^3
Answer:
- 3, 16, - 22, 54
Step-by-step explanation:
Using the recursive formula with a₁ = - 3, then
a₂ = - 2a₁ + 10 = - 2(- 3) + 10 = 6 + 10 = 16
a₃ = - 2a₂ + 10 = - 2(16) + 10 = - 32 + 10 = - 22
a₄ = - 2a₃ + 10 = - 2(- 22) + 10 = 44 + 10 = 54
Thus
the first 4 terms of the sequence are
- 3, 16, - 22, 54
. 66 the 6 keeps going on and on so you can just write. 66 with a line over the second 6.
Answer:
Perimeter: 26 units
Area: 24 units²
Step-by-step explanation:
12 + 9 + 5 = 26
A = 1/2BH
A = 1/2 12(4)
A = 1/2 48
A = 24
Answer: n = 13
Step-by-step explanation:
To find n, you can look at the equation and see that n is being multiplied by 3 to equal 24. Since 8 times 3 equals 24, you can substitute to solve:
8 = n - 5
n = 13
Therefore, through simplification, n is equal to 13.
I hope this helps!