Question

The expansion is$y^5+10y^4+40y^3+80y^2+80y+32$

Short answer

In the following exercises, expand each binomial using Pascal's Triangle.

$(y+2{)}^5$

Step-by-step solution

Given Information 

Expand binomial using Pascal's Triangle.

$(y+2{)}^5$

Solution

We have

Here the exponent is 5 hence we need to consider sixth row

The expansion is

$$\begin{gathered} (y+2{)}^5=1y^5+5y^4·2+10y^3·2^2+10y^2·2^3+5y·2^4+1·2^5 \\ =y^5+10y^4+40y^3+80y^2+80y+32 \end{gathered}$$