Question

i need help with factoring 81x^6+24x^3y^3

(the answer is 3x^3(3x+2y)(9x^2-6xy+4y^2) )

Answer 1

please?

Answer 2

first find the GCF of the two terms
this is 3x^3
so we get
3x^3(27x^3 + 8y^3)
now we use the identity
x^3 + y^3 = ( x + y)( x^2 - xy + y^2)

replace x by cube root of 27 x^3 and y by cube root of 8 y^3
which is 3x and 2y respectively
and you'll obtain the answer you want

Answer 3

are you ok with that?

Answer 4

how would i find the cube root of 27x^3 and 8y^3

Answer 5

i've given you them
27 x^3 : cube rt 27 = 3 and of x^3 = x :- 3x

Answer 6

thank you

Answer 7

when you say, "now we use the identity," what does that mean?

Answer 8

nevermind. i got it :)

Answer 9

well 27x^3 + 8y^3 is the sum of two cubes as is x^3 + y^3

Answer 10

oh ok - good

Answer 11

plz click on good answer if you are happy with these answers