Modemorin785 Modemorin785

Today at 8:27 PM
Mathematics

Answered

Consider the binomial (u^2 − v^3)^6.
a. Find the term that contains v^6.
b. Find the term that contains u^6.
c. Find the fifth term.

Answer :

joseaaronlara joseaaronlara

Today at 8:32 PM

Answer:

The answer to your question is:

Step-by-step explanation:

(u² - v³)⁶ = u¹² - 6(u²)⁵(v³) + 15(u²)⁴(v³)² - 20(u²)³(v³)³ + 15(u²)²(v³)⁴ - 6(u²)(v³)⁵ +

(v³)⁶

= u¹² - 6u¹⁰v³ + 15u⁸v⁶ - 20u⁶v⁹ + 15u⁴v¹² - 6u²v¹⁵ + v¹⁸

a.- Find the term that contains v⁶ = 15u⁸v⁶

b.- Find the term that contains u⁶ = - 20u⁶v⁹

c.- Find the fifth term = 15u⁴v¹²

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