Question

9x cube -24 x square + 64 factorise​

Answer 1

Answer:

Step by Step Solution



STEP1:Equation at the end of step 1

32x3 - 64

STEP2:

Trying to factor as a Difference of Cubes:

 2.1      Factoring:  9x3-64 

Theory : A difference of two perfect cubes,  a3 - b3 can be factored into

              (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =

            a3+a2b+ab2-ba2-b2a-b3 =

            a3+(a2b-ba2)+(ab2-b2a)-b3 =

            a3+0+0+b3 =

            a3+b3

Check :  9  is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Polynomial Roots Calculator :

 2.2    Find roots (zeroes) of :       F(x) = 9x3-64

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers