Question

factorise y square-8y-180=0​

Answer 1

${y}^{2} - 8y - 180 = 0 \\ {y}^{2} - 18y + 10y - 180 = 0 \\ y(y - 18) + 10(y - 18) = 0 \\ (y + 10)(y - 18) = 0$

Answer 2

$\mathfrak{{\pmb{{\underline{Correct~question}}:}}}$

• Factorise　$\sf{y^{2}-8y-180=0}$

$\mathfrak{{\pmb{{\underline{Answer}}:}}}$

$\sf{~~~~~~~~~~ y^{2}-8y-180=0}$

$\boxed{\sf{S=-8~,~~P=-180~~~~{\pmb{(-18,~10)}}}}$

$\sf\implies{(y^{2}-18y)+(10y-180)=0}$

$\sf\implies{[y(y-18)~]+[10(y-18)~]=0}$

$\sf\implies{{\pmb{(y+10)(y-18)=0}}}$

$\therefore\mathfrak{{\pmb{{\underline{Required~answer}}:}}}$

Factors are :-

• y + 10　and　y – 18

${}$

• y = –10
• y = 18