0
How to factorise I x power 6 - y power 6 2 x power 12- y power 12?
RomanRaman
Explanation:
The difference of squares identity can be written:
a
2
−
b
2
=
(
a
−
b
)
(
a
b
)
The difference of cubes identity can be written:
a
3
−
b
3
=
(
a
−
b
)
(
a
2
a
b
b
2
)
The sum of cubes identity can be written:
a
3
b
3
=
(
a
b
)
(
a
2
−
a
b
b
2
)
So:
x
6
−
y
6
=
(
x
3
)
2
−
(
y
3
)
2
=
(
x
3
−
y
3
)
(
x
3
y
3
)
=
(
x
−
y
)
(
x
2
x
y
y
2
)
(
x
y
)
(
x
2
−
x
y
y
2
)
If we allow Complex coefficients, then this reduces into linear factors:
=
(
x
−
y
)
(
x
−
ω
y
)
(
x
−
ω
2
y
)
(
x
y
)
(
x
ω
y
)
(
x
ω
2
y
)
where
ω
=
−
1
2
√
3
2
i
=
cos
(
2
π
3
)
sin
(
2
π
3
)
i
is the primitive Complex cube root of
1
.
Anonymous
Add your answer:
Earn +20 pts
Factorise 2x plus 7 plus 5?
2x + 7 + 5 = 2x + 12 = 2*x + 2*6 = 2*(x+6)
How do you factorise 4x2-6x-12?
4x2 - 6x - 12 = 2 (2x2 - 3x - 6) There are no integer roots, the approximate roots are 2.64 and -1.14
How do you factorise a number?
we factorise a number by finding the common factor. example: 2x+6 = 2 is the common factor the 2 is then put outside the bracket 2x+6 = 2(x+3)
How do you factorise 3x plus 6?
It is: 3(x+2)
Factorise equals x raise to power 2 - x-42?
44
How do you factorise 2x plus 12?
2x + 12 = 2*x + 2*6 = 2*(x + 6)
Factorise 4a plus 6b-12?
2 x (2a + 3b - 6)
Factorise 2x plus 7 plus 5?
2x + 7 + 5 = 2x + 12 = 2*x + 2*6 = 2*(x+6)
How do you factorise 4x2-6x-12?
4x2 - 6x - 12 = 2 (2x2 - 3x - 6) There are no integer roots, the approximate roots are 2.64 and -1.14
What is the least common multiple of 12 18 and 6?
The LCM of 6, 12, and 18 is 36. Prime factorise each number in power format: 6: 2 x 3 12: 2² x 3 18: 2 x 3² Take the product of the all the primes to their highest powers across all the numbers: 2² x 3² = 36
How do you factorise a number?
we factorise a number by finding the common factor. example: 2x+6 = 2 is the common factor the 2 is then put outside the bracket 2x+6 = 2(x+3)
How do you factorise 12 plus 30?
12: 1, 2, 3, 4, 6, 12 30: 1, 2, 3, 5, 6, 10, 15, 30 12 + 30 = 42 42: 1, 2, 3, 6, 7, 14, 21, 42 12x + 30 = 6(2x + 5) 12 + 30x = 6(5x + 2)
How do you factorise 3m-6?
3 x (m - 2)
How do you factorise 10y - 6?
4
How do you factorise 3m 6?
3 x (m - 2)
How do you factorise 3x plus 6?
It is: 3(x+2)
Factorise equals x raise to power 2 - x-42?
44
