Math, asked by ineedanswer13, 2 months ago

simplify please tell me the correct option

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Answered by pprajwala24
4

Answer:

option 3 is the answer

hope this helps you

Answered by js6326742
19

using \: (a + b)^{3}  = a^{3}  + b {}^{3} + 3a {}^{2}b \:  + 3b {}^{2}  \\ (3x \:  + 2 {}^{3} ) = (3x) {}^{3}  + (2 {})^{3}  + 3(3x) {}^{2}(2) + 3(3x)(2) {}^{2}   \\  = 27x {}^{3}  + 8 + 54x {}^{2}  + 36x \\  \\ now \: using \: (a - b) {}^{3}  = (3x){}^{3}- (2) {}^{3}  - 3(3x) {}^{2}(2) + 3(3x)(2) {}^{2}  \\  = 27x {}^{3}  - 8 - 54x {}^{2}  + 36x \\  \\  \maltese \huge \green { \: subtract \: both \: of \: them}</p><p>\\  27x {}^{3}  + 8 + 54x {}^{2}  + 36x  - (27x {}^{3}  - 8 - 54x {}^{2}  + 36x) \\  = {27x}^{3}  + 8 + 54x {}^{2}  + 36x \:  -27x{}^{3} + 8 + 54x {}^{2}  - 36x \\  cancelling \: same \: terms  \: out  \:  \\  = 8 + 8 + 54x {}^{2}  + 54x {}^{2}   \\    \maltese  \mathfrak \red {16 + 108x {}^{2} }

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