Question

Factorize : z^7 -zw^6

Answer 1

Answer :

${z}^{7} - {zw}^{6} \\ \\ factor \: out \: z \: from \: the \: expression \\ \\ z( {z}^{6} - {w}^{6} ) \\ \\ factor \: the \: no. \: 6 \\ \\ {z}^{2 \times 3} - {w}^{2 \times 3}$

$using\: \: {a}^{mn} = ( {a}^{n} {)}^{m} \\ \\ ( {z}^{3} {)}^{2} - ( {w}^{3} ) {}^{2} \\ \\factorise \: by \: using \: \\ {a}^{2} - {b}^{2} = (a - b)(a + b) \\ \\ z( {z}^{3} - {w }^{3} ) \times ( {z}^{3} + {w}^{3} )$

$factorise \: by \: using \\ {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} ) \\ and \: \: {a}^3 + {b}^3 = (a+b)( {a}^{2} - ab + {b}^{2} ) \\ \\ z(z - w)( {z}^{2} + wz + {w}^{2} )(z + w)( {z}^{2} - wz + {w}^{2} )$

HOPE IT WOULD HELP YOU.

Answer 2

Heyyyy mate

here is your answer
hope it help you