Answer:
1.) (f−g)(f²+fg+g²)
2.) ( 2 e + 3 ) ( 4 e ² − 6 e + 9 )
Step-by-step explanation:
Solution to Number 1
Factor f³−g³
f³−g³
=(f−g)(f²+fg+g²)
Solution to Number 2
Since both terms are perfect cubes, factor using the sum of cubes formula,
a ³ + b ³ = ( a + b ) ( a ²− a b + b ² ) where a = 2 e and b = 3 .
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Answer:
1.) (f−g)(f²+fg+g²)
2.) ( 2 e + 3 ) ( 4 e ² − 6 e + 9 )
Step-by-step explanation:
Solution to Number 1
Factor f³−g³
f³−g³
=(f−g)(f²+fg+g²)
Solution to Number 2
Since both terms are perfect cubes, factor using the sum of cubes formula,
a ³ + b ³ = ( a + b ) ( a ²− a b + b ² ) where a = 2 e and b = 3 .