Question

Factorise: x²-3x-18
Factorise: y²-xy(1-x)-x³
pls show working

Answer 1

Answer: 1. (x-6)(x+3)

              2. (y-x²)(y-x)

Step-by-step explanation: (refer attachment)

Please mark brainliest!

Answer 2

$\large{ \underline{ \sf{Given: }}}$

$\sf = {x}^{2} - 3x - 18$

$\sf{ \red{split \: the \: middle \: term}}$

$\sf{ ({x}^{2} - 6x) + (3x - 18)}$

$\sf \orange{group \: the \: pair \: of \: terms}$

$\sf{x(x - 6) + 3(x - 6)}$

$\sf{ \green{factor \: of \: each \: binomial}}$

$\sf{(x - 6)(x + 6)}$

$\sf{ \blue{(factor \: out \: common \: factors \: \: \: (x - 6))}}$

2)

$\sf = {y}^{2} - xy(1 - x) - {x}^{3}$

$\sf{ \pink{above \: the \: equation \: can \: be \: written \: as: }}$

$\sf {y}^{2} - xy + {x}^{2} y - {x}^{3}$

$\sf{ \purple{Take \: out \: common \: terms \: from \: the \: expression:}}$

$\sf = {y}^{2} - xy + {x}^{2} (y - x)$

$\sf{(y - x)(y + {x}^{2})}$

hope its help u