Math, asked by priyankarajput2909a, 2 months ago

product (x^2-1)(x^4+x^2+1)​

Answers

Answered by Anonymous
3

 \huge \sf \underline \pink{Answer : }

\sf \purple{ \implies \:  {x}^{6} - 1 }

 \sf \huge \underline \red{Given : }

  • product (x²-1)(x⁴+x²+1)

 \sf \huge \underline \blue{solution : }

\:  \:  \:  \:  \:  \:  \:  \:  \:  \sf{(x²-1)(x⁴+x²+1)}

 \sf \underline{we \: know \: that \: identity : }

 \sf \underline \red{( {a}^{3}  -  {b}^{3} ) = (a - b)( {a}^{2}  + ab +  {b}^{2})}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \sf{(x²-1)(x⁴+x²+1)}

 \sf{ \implies \: ( {x}^{2} - 1)(( {x}^{2}) {}^{2}   +  {x}^{2} (1) +  {1}^{2} )}

\sf{ \implies \: ( (( {x}^{2}) {}^{3}  -  {1}^{3}  )}

\sf{ \implies \:  {x}^{6} - 1 }

Answered by Anonymous
0

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