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

w·x^3·y^4(w^5 - x·y²)

Step-by-step 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.

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step-by-step explanation: