dineshmilonee dineshmilonee
  • 08-06-2020
  • Mathematics
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simplify (a+b)^3 + (a-b)^3 + 6a(a^2-b^2)

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hahaitsurboi
hahaitsurboi hahaitsurboi
  • 08-06-2020

Answer:

8a^3.

Step-by-step explanation:

(a+b)^3=a^3+b^3+3a^2b+3ab^2

(a-b)^3=a^3-b^3-3a^2b+3ab^2

(a+b)^3+(a-b)^3=2a^3+6ab^2

According to the question

(a+b)^3+(a-b)^3+6a(a^2-b^2)

Put in the value

=2a^3+6ab^2 +6a^3–6ab^2

=8a^3

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