Find the cube of (2x+3y).please give process also
Answers
Answered by
0
Step-by-step explanation:
Here,s the cube of (2x+3y)
ANSWER
ANSWER
We know that the identity is (a+b)
3
=a
3
+b
3
+3a
2
b+3ab
2
Therefore,
(2x+3y)
3
=(2x)
3
+(3y)
3
+(3×(2x)
2
×3y)+(3×2x×(3y)
2
)=8x
3
+27y
3
+(9y×4x
2
)+(6x×9y
2
)
=8x
3
+27y
3
+36x
2
y+54xy
2
Hence, (2x+y)
3
=8x
3
+27y
3
+36x
Answered by
2
Answer:
(a + b)³ = a³ + 3a²b + 3ab² + b³
∴ (2x+3y)³
= (2x)³ + 3(2x)²(3y) + 3(2x)(3y)² + (3y)³
= 8x³+ 9y(4x²) + 6x(9y²) + 27y³
= 8x³ + 36x²y + 54xy² + 27y³
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