Factorize 8a^3+27b^3+36a^2b+54ab^2
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Given : 8a
3
+27b
3
+36a
2
b+54ab
2
According to the equation,
(a+b)
3
=a
3
+b
3
+3b(a+b)
we get,
8a
3
+27b
3
+36a
2
b+54ab
2
using the formula we can it write it as
=(2a)
3
+(3b)
3
+3(2a)(3b)(2a+3b)
We can write it as
=(2a+3b)
3
\
8a
3
+27b
3
+36a
2
b+54ab
2
=(2a+3b)(2a+3b)(2a+3b)
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