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`