The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
Isolate the variable by dividing each side by factors that don't contain the variable.
f=e-g/d
If you mean greatest common factor then that means
factor each and group the ones that are same
81=3 times 3 times 3 times 3
108=2 times 2 times 3 times 3 times 3
117=3 times 3 times 13
so we look for the group common to all (I bolded it)
81=3 times 3 times 3 times 3
108=2 times 2 times 3 times 3 times 3
117=3 times 3 times 13
the answeis 3 times 3=9
greates common denomenator of these nubers is 9
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