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)

Question

asked Apr 4, 2023 186k views

1 Answer

Feng Zhao · Answer 1 · 2023-04-09T18:17:15+0000

Answer:

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

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
$\sf a^1=a$ :

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