Question

Find the LCM of the following expressions by factorization.
2(x^4-y^4) , 3(x^3+2x^2*y-xy^2-2y^3)

Answer 1

can you factor the left?

Answer 2

2(x^4-y^4)= 2(x^2-y^2)(x^2+y^2) = 1(x-y)(x+y)(x^2+y^2)

Answer 3

2(x+y)(x-y)(x^2+y^2)
and 3(x^2(x+2y)-y^2(x+2y))=3(x+y)(x-y)(x+2y)
hence lcm is 6(x+y)(x-y)(x^2+y^2)(x+2y)

Answer 4

guys the answer in book is:
6(x+2y)(x^4-y^4)

Answer 5

thats what i wrote 6 (x^2-y^2)(x^2+y^2)(x+2y)
= 6 (x+2y)(x^4-y^4
)

Answer 6

the book is not simplifying as far as possible