Question

factorize x (x+y-z)-xy​

Answer 1

Answer:

x(x+z)-y(y+z) x2+xz-yz-y2 (x2- y2)+(xz-yz) (x)2-(y)2+(xz-yz) (x)2-(y)2+z(x-y) (x +y)(x-y)+z(x-y) (x-y)(x+y+z).

Hope it will help you ...

Answer 2

$\bf \underline{Solution :-}$

$x(x + y - z) - xy$

$= {x}^{2} + xy - zx - xy$

$= {x}^{2} - zx$

$= x(x - z)$

$\bold{Answer : x(x-z)}$

$\bf \underline{Important \: Formulas :-}$

$• \: 4ab = {(a + b)}^{2} - {(a - b)}^{2}$

$• \: {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )$

$• \: {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )$

$• \: (a + b)^{3} = {a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3}$

$• \: (a - b)^{3} = {a}^{3} - 3 {a}^{2} b + 3a {b}^{2} - {b}^{3}$

$• \: {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}$

$• \: {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2}$

$• \: ( {a}^{2} - {b}^{2} ) = (a + b)(a - b)$