expanded form (3a2−2)3 is:
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Step-by-step explanation:
ANSWER
We simplify the given expression 3a
2
(2a
2
−3)+4a(2a
3
+3)−12(a+1) as follows:
3a
2
(2a
2
−3)+4a(2a
3
+3)−12(a+1)
=6a
4
−9a
2
+8a
4
+12a−12a−12
=(6a
4
+8a
4
)−9a
2
+(12a−12a)−12(Combiningliketerms)
=a
4
(6+8)−9a
2
+a(12−12)−12
=14a
4
−9a
2
−12
Hence, 3a
2
(2a
2
−3)+4a(2a
3
+3)−12(a+1)=14a
4
−9a
2
−12.
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