a3+ b3 = (a + b)(a2 - ab + b2)
Do in this order. 1. All, find the gfc 2. Binomial, factor as difference of squares, sum of cubes, difference of cubes. 3. Trinomial, factor as a quadratic. 4. 4 or more terms, factor by grouping.
1729 is the smallest number that can be expressed in two ways as the sum of two cubes.[12cube+9cube] * * * * * ... two positive cubes. 12 cube + 1 cube and 10 cube + 9 cube.
the sum of two numbers is
The difference.
That means that you calculate the cubes of two numbers, and then either add or subtract them.
Sum and difference of two cubes is factored this way : a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)
23 = 8, 33 = 27. Sum 35, difference 19...
That's either the sum or difference of two cubes.
The sum of two cubes can be factored as below.a3 + b3 = (a + b)(a2 - ab + b2)
When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
a3 + b3
factoring whole numbers,factoring out the greatest common factor,factoring trinomials,factoring the difference of two squares,factoring the sum or difference of two cubes,factoring by grouping.
a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)
The difference of their cubes is 4.
1
The sum of their squares is 10.