The answer to the above equation is 3
Step-by-step explanation:
(a-b)³+(b-c)³+(c-a)³: (a-b)(b-c)(c-a)
Let us consider (a−b)= x, (b−c)= y and (c−a)= z.
Hence, It is obvious that:
x+y+z =0 ∵all the terms gets cancelled out
⇒We must remember the algebraic formula
x³+y³+z³−3xyz= (x+y+z) (x²+y²+z²-xy-xz-yz)
Since x+y+z=0 ⇒Whole “(x+y+z) (x²+y²+z²-xy-xz-yz)
” term becomes 0
x³+y³+z³−3xyz =0
Alternatively, x³+y³+z³= 3xyz
Now putting the value of x, y, z in the original equation
(a-b)³+(b-c)³+(c-a)³ can be written as 3(a-b)(b-c)(c-a) since (a−b)= x, (b−c)= y and (c−a)= z.
3(a-b)(b-c)(c-a): (a-b)(b-c)(c-a)
= 3 ∵Common factor (a-b)(b-c)(c-a) gets cancelled out
Answer to the above question is 3
Answer:
52
Step-by-step explanation:
so first you do 10x14=140
next you have to do 12x16=192
then u have to do 192-140=52in squared
Answer:
Step-by-step explanation:
27x + 12y = -216
8x - 12y = -64
35x = -280
x= -8
2(-8) - 3y = -16
-16 - 3y = -16
-3y = 0
y = 0
(-8, 0)
The answer is 1/5
I hope this helps.
Have a awesome day. :)
10x-4-7/2x-3/4(2x-3)
6 1/2 -4 - 1 1/2x - 2 1/4
2 1/2- 1 1/2x- 2 1/4
1/4-1 1/2x
decimal form:
6.5-4-1.5x-2.25
2.5-1.5x-2.25
0.25-1.5x
