Question

Simplify (y + 1)⁵ ÷ (y + 1)³​

Answer 1

`given \\ \frac{ {(y + 1)}^(5) }{(y + 1) ^(3) } \\ as \: they \: have \: same \: base \\ {(y + 1)}^(5 - 3) \\ = (y + 1) ^(2) \\ or \: we \: can \: write \\ = (y + 1)(y + 1) \\ \\ hope \: it \: helps.`

Answer 2

The answer is
`y^2+2y+1`

Step-by-step explanation:

- Properties of Exponent -

`(a^m)/(a^n)=a^(m-n)`

Our a is y+1

Our m is 5

Our n is 3

`((y+1)^5)/((y+1)^3)=(y+1)^(5-3)\\(y+1)^2`

- Multiply The Polynomial -

As for the Quadratic Polynomial and being squared, we use the following formula:

`(x+y)^2=x^2+2xy+y^2`

Our x is y

Our y is 1

Thus,

`(y+1)^2=y^2+2(y)(1)+1^2\\(y+1)^2=y^2+2y+1`

As our simplified, multiplied form is
`y^2+2y+1`