Question

Simplify (y + 1)⁵ ÷ (y + 1)³​

Answer 1

Answer:

The answer is  $y^2+2y+1$

Explanation:

- Properties of Exponent -

$\frac{a^m}{a^n}=a^{m-n}$

Our a is y+1

Our m is 5

Our n is 3

$\frac{(y+1)^5}{(y+1)^3}=(y+1)^{5-3}\\(y+1)^2$

- 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 $y^2+2y+1$

Answer 2

Answer:

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