Factorise 27x³ + 8y² + 54x²y + 36xy
Answers
Answered by
0
27x
3
−54x
2
y+36xy
2
−7y
3
=27x
3
−54x
2
y+36xy
2
−8y
3
+y
3
=(3x)
3
−3(3x)
3
(2y)+3(3x)(2y)
2
−(2y)
3
+y
3
=(3x−2y)
3
+y
3
=(3x−2y+y)((3x−2y)
2
−(3x−2y)y+y
2
)
=(3x−y)(9x
2
−2(3x)(2y)+(2y)
2
−3xy+2y
2
+y
2
)
=(3x−y)(9x
2
+7y
2
−15xy)
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Answered by
3
Step-by-step explanation:
ANSWER :-
= 27x³ - 8y² + 54x²y + 36xy
= (3x)³ - (2y)³ - 3 * (3x)² * 2y + 3 * 3x * (2y)²
= 3x - 2y³
I hope it's help you
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