Question

Probably very easy but i do need some help asap

my calculations are not giving me the answer i'm supposed to receive which is
9y^3(3-y)

Answer 1

`\sf 9y^3(3-y)`

Step by step explanation:

`\sf 27y^3-9y^4`

Factor out common term 9 :

`\sf \implies 9(3y^3-y^4)`

Apply exponent rule
`\sf a^(bc)=a^(b+c)=a^ba^c` :

`\sf \implies 9(3y^3-y^(1+3))`

`\sf \implies 9(3y^3-y^1y^3)`

Factor out common term
`\sf y^3`:

`\sf \implies 9y^3(3-y^1)`

Apply exponent rule
`\sf a^1=a` :

`\sf \implies 9y^3(3-y)`