Respuesta :
Answer:
4 ( a +3 )( 3 a 2 + 18 a + 28 )
Step-by-step explanation:
Factor
4 ( a + 3 ) out of 12 ( a + 3 )3 + 4 ( a + 3 )
Next Step
4 ( a + 3 ) ( 3 ( a + 3 ) 2 + 1 )
Rewrite
( a + 3 ) 2 as ( a + 3 ) ( a + 3 ) .
Next Step
4 ( a + 3 ) (3 ( ( a + 3 ) ( a + 3 ) ) + 1 )
Expand
( a + 3 ) ( a + 3 )
using the FOIL Method.
4 ( a + 3 ) ( 3 (a ⋅ a + a ⋅ 3 + 3 a + 3⋅ 3 ) + 1 )
Simplify and combine like terms.
4 ( a + 3 ) ( 3 ( a 2 + 6 a + 9 ) + 1 )
Apply the distributive property.
4 ( a + 3 ) ( 3 a 2 + 3 ( 6 a ) + 3 ⋅ 9 + 1 )
Simplify.
4 ( a + 3 ) ( 3 a 2 + 18 a + 27 + 1 )
Add
27 and 1 .
4 ( a + 3 ) ( 3 a 2 + 18 a + 28 )
Glad I could help!!
Answer:
4(a + 3)(3a² + 18a + 28)
Step-by-step explanation:
Given
12(a + 3)³ + 4(a + 3) ← factor out 4(a + 3) from each term
= 4(a + 3) [ 3(a + 3)² + 1 ]
= 4(a + 3)(3a² + 18a + 27 + 1)
= 4(a + 3)(3a² + 18a + 28)
