Question

Pls make the answer clear & gave an easy explanation thank u

Answer 1

Given 3 numbers a, b and c the distributive property states that:

$a\cdot(b+c)=a\cdot b+a\cdot c$

If we apply this property to the expression given by the question we get:

$7b^4\cdot(4b^5+6b)=7b^4\cdot4b^5+7b^4\cdot6b$

It's important to recall the following property of powers:

$b^a\cdot b^c=b^{a+c}$

Using this we can simplify the last expression:

$\begin{gathered} 7b^4\cdot4b^5+7b^4\cdot6b=7\cdot4\cdot b^{4+5}+7\cdot6\cdot b^{4+1} \\ 7b^4\cdot4b^5+7b^4\cdot6b=28b^9+42b^5 \end{gathered}$

Then the answer is:

$28b^9+42b^5$