Answer:
The answer is [tex]y^2+2y+1[/tex]
Explanation:
- Properties of Exponent -
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
Our a is y+1
Our m is 5
Our n is 3
[tex]\frac{(y+1)^5}{(y+1)^3}=(y+1)^{5-3}\\(y+1)^2[/tex]
- Multiply The Polynomial -
As for the Quadratic Polynomial and being squared, we use the following formula:
[tex](x+y)^2=x^2+2xy+y^2[/tex]
Our x is y
Our y is 1
Thus,
[tex](y+1)^2=y^2+2(y)(1)+1^2\\(y+1)^2=y^2+2y+1[/tex]
As our simplified, multiplied form is [tex]y^2+2y+1[/tex]
