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 $121y^6 -36x^4$ .

Step-by-step 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 $121y^6 -36x^4$ .