Answer:Factoring: 216x3-343y3
Theory : A difference of two perfect cubes, a³- b³ can be factored into
(a-b) • (a² +ab +b²)
)Proof : (a-b)•(a²+ab+b²) =
a³+a²b+ab²-ba²-b²a-b³ =
a³+(a²b-ba²)+(ab²-b²a)-b³ =
a³+0+0-b³ =
a³-b³
Check : 216 is the cube of 6
Check : 343 is the cube of 7
Check : Check : x³ is the cube of x¹
Check : y³ is the cube of y¹
Factorization is :
(6x- 7y) • (36x² + 42xy + 49y²)
Step-by-step explanation:
Hope it helps
Pa brainliest beke NemeN
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Answer:Factoring: 216x3-343y3
Theory : A difference of two perfect cubes, a³- b³ can be factored into
(a-b) • (a² +ab +b²)
)Proof : (a-b)•(a²+ab+b²) =
a³+a²b+ab²-ba²-b²a-b³ =
a³+(a²b-ba²)+(ab²-b²a)-b³ =
a³+0+0-b³ =
a³-b³
Check : 216 is the cube of 6
Check : 343 is the cube of 7
Check : Check : x³ is the cube of x¹
Check : y³ is the cube of y¹
Factorization is :
(6x- 7y) • (36x² + 42xy + 49y²)
Step-by-step explanation:
Hope it helps
Pa brainliest beke NemeN