Answer:
Step-by-step explanation:
<h3>
Algebraic Identities:</h3>
Identity used: (a +b)³ = a³ + b³ + 3ab(a +b)
p + q = -2 ------------------(I)
Both sides take cube,
(p +q)³ = (-2)³
a = p and b =q
p³ + q³ + 3pq(p +q) = -8
p³ + q³ + 3pq*(-2) = - 8 {From (I)}
p³ + q³ - 6pq = -8
p³ + q³ = -8 + 6pq
p³ + q³ + 8 = 6pq
Hence, proved.
Answer:
28 x 28 x 28 = 21,952 cm³
Step-by-step explanation:
Answer:
Luke = 12 games
Naliba = 6 games
Step-by-step explanation:
Luke and naliba are playing squash
Luke wins twice as many games as naliba
They play a total of 18 games
Luke= 2x
naliba = x
2x +x= 18
3x= 18
x= 18/3
x= 6
Luke= 2(6)
= 12
naliba= 6
Hence luke wins 12 games and naliba wins 6 games
Answer:
14.7 is the best answer i can come up with it might be wrong it might not be to be helpful there you go
Step-by-step explanation:
Answer:
The quotient is : x+9
The remainder is : 13
Step-by-step explanation:
The question requires you to perform the long division method;
This will be;
start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;
x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x
- x²-2x+0 ------------perform subtraction of like terms
---------------------
9x-5 ----now divide this answer by x-2 ,starting with x and 9x
----------------------This will give , 9 then multiply 9 by x-2 to get 9x-18 and perform the subtraction operation as;
9x-5
- 9x-18
------------------------
13
So the answer will be; x+9 remainder 13