Question

What is the factores form of the polynomial w^6 x^3 y^4 -wx^4 y^6

Answer 1

w·x^3·y^4(w^5 - x·y²)

Explanation:

w^6 x^3 y^4 - wx^4 y^6 has two terms. Our first task is to determine whether they have any factors in common, and, if so, to find those factors.

Looking at w^6 x^3 y^4 - wx^4 y^6, we see that both terms have the factor x, so factor out x:

w(w^5 x^3 y^4 - x^4 y^6)

Further, both terms inside the parentheses have common factor x^3:

wx^3(w^5 y^4 - x y^6), and

both terms inside parentheses have the factor y^4 in common:

w·x^3·y^4(w^5 - x·y²)

This result is the desired factored form of the given polynomial.

Answer 2

`wx^3y^4\left(w^5-xy^2\right)`

Explanation:

Combine like terms.

`=ww^5x^3y^4-wx^3xy^4y^2\\\mathrm{Factor\:out\:common\:term\:}x^3wy^4\\=x^3wy^4\left(w^5-xy^2\right)`

Hope this helps and have a great day!