Question

Factorize:

8) x²y - 4xy + 4y =

12) 4/25x²-3/5x+9/16 =

Answer 1

8) y(x-2)(x-2)

12) (2x/5-3/4)^2

Answer 2

`\begin{gathered}\qquad \; \; \sf \pmb {(8) \; x^(2)y - 4xy + 4y} \\ \\ \end{gathered}`

`\begin{gathered} \\ \\ \underline{\underline{ \; \; \sf {\dag \; Taking \: (y) \: as \: common:-}}} \\ \\ \end{gathered}`

`\begin{gathered} \; \; :\longmapsto \; \sf {y(x^(2) - 4x + 4)} \\ \\ \end{gathered}`

`\begin{gathered} \\ \\ \underline{\underline{ \; \; \sf {\dag \; Factoring \: \: Square \: \: Trinomials:-}}} \\ \\ \end{gathered}`

`\begin{gathered} \; \; :\longmapsto \; \sf {y(x^(2) - 4x + 2^(2))} \\ \\ \end{gathered}`

`\begin{gathered} \; \; :\longmapsto \; \underline{\boxed{\pmb{\sf{y(x - 2)^(2)}}}} \: \pmb{\red{\bigstar}} \\ \\ \end{gathered}`

`\begin{gathered}\qquad {\rule{170pt}{7pt}} \\ \\ \end{gathered}`

`\begin{gathered}\qquad \; \; \sf \pmb {(12) \; (4)/(25)x^(2) - (3)/(5)x + (9)/(16)} \\ \\ \end{gathered}`

`\begin{gathered} \\ \\ \underline{\underline{ \; \; \sf {\dag \; Factoring \: \: Square \: \: Trinomials:-}}} \\ \\ \end{gathered}`

`\begin{gathered} \; \; :\longmapsto \; \sf {\bigg\lgroup{(2x)/(5)}\bigg\rgroup}^(2) - {\bigg\lgroup{(3x)/(5)}\bigg\rgroup} + {\bigg\lgroup{(3)/(4)}\bigg\rgroup}^(2) \\ \\ \end{gathered}`

`\begin{gathered} \; \; :\longmapsto \;\underline{\boxed{\sf{\pmb{\bigg\lgroup{(2x)/(5) - (3)/(4)}\bigg\rgroup}^(2)}}} \; \pmb{\red{\bigstar}} \\ \\ \end{gathered}`

`\begin{gathered} \\ {\underline{\rule{170pt}{9pt}}} \end{gathered}`