Simplify x^2 (4 (x-2) ^3) + 2x (x-2) ^4

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Mathematics

Shelly

6 December, 01:39

Simplify x^2 (4 (x-2) ^3) + 2x (x-2) ^4

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Lilian Odonnell · Answer 1

4 x^5 + - 24 x^4 + 48 x^3 + - 32 x^2 + 2 x^5 + - 16 x^4 + 48 x^3 + - 64 x^2 + 32 x

4 x^5 + - 24 x^4 + 48 x^3 + - 32 x^2 + 2 x^5 + - 16 x^4 + 48 x^3 + - 64 x^2 + 32 x

(4 x^5 + 2 x65) + ( - 24 x^4 + - 16 x^4) + (48 x^3 + 48 x^3) + ( - 32 x^2 + - 64 x62) + (32x)

6 x^5 + - 40 x^4 + 96 x^3 + - 96 x^2 + 32x

Answer: 6 x^5 - 40 x^4 + 96 x^3 - 96 x^2 + 32 x