Question

Expand the polynomial: (6x^2−11y^3)(−6x^2−11y^3)

Answer 1

on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or
`(6x^2-11y^3)(-6x^2-11y^3)` is
`121y^6 -36x^4` .

Explanation:

We have , (6x^2−11y^3)(−6x^2−11y^3):

`(6x^2-11y^3)(-6x^2-11y^3)`

⇒
`(6x^2-11y^3)(-6x^2-11y^3)`

We know that :

`(a +b)(c+d) = (ac+ad+ad+bd)`

⇒
`(6x^2(-6x^2) - 11y^3(-6x^2) )+(6x^2(-11y^3) + (-11y^3)(-11y^3))`

⇒
`(-36x^4+66x^2y^3 -66x^2y^3 + 121y^6)`

⇒
`(-36x^4+ 121y^6)`

⇒
`121y^6 -36x^4`

Therefore, on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or
`(6x^2-11y^3)(-6x^2-11y^3)` is
`121y^6 -36x^4` .