im in calculus 2 .. but i forgot the algebraic expansion formula
(a^3 + b^3)=
2007-02-11 18:02:18 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Difference of cubes:
(a³ - b³) = (a - b)(a² + ab + b²)
[In the Sum & Difference of Cubes formulae, notice the sign change of the middle term of the trinomial factor.]
Edit: For expansion of (a + b)³ , recall Pascal's Triangle.
2007-02-11 18:23:12 · answer #1 · answered by S. B. 6 · 1⤊ 0⤋
You can factor (a^3 + b^3), but you can't expand it. Expansion of (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
2007-02-12 02:11:45 · answer #2 · answered by Helmut 7 · 1⤊ 0⤋
a^3+b^3=(a+b)(a^2-ab+b^2)The above is the fctorisation formula
If you want to expand it,you may do it in the following way
a^3+b^3=(a+b)^3-3ab(a+b),or
=(a+b)^3-3a^2b-3ab^2
2007-02-12 03:09:25 · answer #3 · answered by alpha 7 · 1⤊ 0⤋
(a³ + b³) = (a + b)(a² - ab + b²)
2007-02-12 02:12:35 · answer #4 · answered by Northstar 7 · 2⤊ 0⤋