Solution:
The difference of cubes identity is
if a and b are any two real numbers, then difference of their cubes , when taken individually:
→a³ - b³= (a-b)(a² + a b + b²)→→→Option (D) is true option.
I will show you , how this identity is valid.
Taking R H S
(a-b)(a² +b²+ab)
= a (a² +b²+ab)-b(a² +b²+ab)
= a³ + a b² +a²b -b a² -b³ -ab²
Cancelling like terms , we get
= a³ - b³
= L H S
x+4y=15 2x-y=-15
We have to make x neg.
-2(x) + 4y (-2)= -2(15)
-2x-8y=-30
2x-y=-15
-9y= -45
Solve for y
Y=-45/-9
Y = 5
Substitute your y answer into one original equation to find x .
x+4y=15
X+4(5)=15
X+20=15
X=15-20
X= -5
Answer is (-5,5)
Answer:
12x +14
1.) divide both sides but 12 to get the variable alone
12x becomes just the variable x
14 is now 1.16 with the 6 having a line above it showing its repeating.
x = 1.16 repeated
Answer: 1 canteen
Step by step: 12 boys divided by 12 canteens 1, so each boy gets 1 canteen