Question

use the distributive property to remove the parentheses. 10y³(3 - 9y⁵) simplify your answer as much as possible.

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b - c)=ab - ac \). Here, \( a = 10y^{3}\), \( b = 3\) and \( c=9y^{5}\). So we multiply \( 10y^{3}\) with each term inside the parentheses:
\( 10y^{3}\times3-10y^{3}\times9y^{5} \)

Step2: Simplify each term

For the first term: \( 10y^{3}\times3 = 30y^{3}\)
For the second term, use the rule of exponents \( a^{m}\times a^{n}=a^{m + n}\). So \( 10y^{3}\times9y^{5}=(10\times9)y^{3 + 5}=90y^{8}\)
Putting it together, we get \( 30y^{3}-90y^{8}\)

Answer:

\( 30y^{3}-90y^{8} \)