Question

Which of the following is the factorisation of x³– x?​

Answer 1

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Answer is in pic

Answer 2

$\rm \longrightarrow \: {x}^{3} - x \\ \\ \\ \rm \longrightarrow \: x({x}^{2} - 1) \\ \\ \\ \rm \: we \: know \: that \: \: \: {a}^{2} - {b}^{2} = ( a- {b})( a- b)\\ \\ \\ \rm \longrightarrow \: x({x} - 1)({x} + 1)$

Answer :

x (x- 1) (x+1)

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Algebric Identities :

$\boxed{\begin{minipage}{7 cm}\boxed{\bigstar\:\:\textbf{\textsf{Algebric\:Identity}}\:\bigstar}\\\\1)\bf\:(A+B)^{2} = A^{2} + 2AB + B^{2}\\\\2)\sf\: (A-B)^{2} = A^{2} - 2AB + B^{2}\\\\3)\bf\: A^{2} - B^{2} = (A+B)(A-B)\\\\4)\sf\: (A+B)^{2} = (A-B)^{2} + 4AB\\\\5)\bf\: (A-B)^{2} = (A+B)^{2} - 4AB\\\\6)\sf\: (A+B)^{3} = A^{3} + 3AB(A+B) + B^{3}\\\\7)\bf\:(A-B)^{3} = A^{3} - 3AB(A-B) + B^{3}\\\\8)\sf\: A^{3} + B^{3} = (A+B)(A^{2} - AB + B^{2})\\\\\end{minipage}}</p><p></p><p></p><p>$