Factorization (8 / 27) x - (2 / 3) y Another question, 3m-7m-20

Factorization (8 / 27) x - (2 / 3) y Another question, 3m-7m-20


=2/3(4/9x^2-y^2)=2/3(2/3x+y)(2/3x-y)
Another question = (3m + 5) (M-4)



How to factorize x ^ 3-8?
How to factorize x ^ 8-8? Important


X^3-8=X^3-2^3
=(X-2)(X^2+2X+4)
Note: it is the formula A ^ 3-B ^ 3 = (a-b) (a ^ 2 + AB + B ^ 2)



The solution of cubic equation with one variable
As follows: x ^ 3 + 4x ^ 2 + 7x + 6 = 0


x^3+4x^2+7x+6=0
x^3+2x^2+2x^2+7x+6=0
x^2(x+2)+(2x+3)(x+2)=0
(x+2)(x^2+2x+3)=0
∵x^2+2x+3>0
∴x+2=0
x=-2