Question

`\sf\large\green{\underbrace{\red{Question*}}}:`


`\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Factorize}}}}`

`{y}^(2) - 3y - 4y + 12`

`9 {x}^(2) - 12x + 4`
​

Answer 1

Part A

`\sf \rightarrow y^2 - 3y - 4y +12`

factor the common term 'y' and '-4'

`\sf \rightarrow y(y - 3) - 4(y - 3)`

collect into groups

`\sf \rightarrow (y- 4)(y - 3)`

Part B

`\sf \rightarrow 9x^2 - 12x + 4`

middle term split

`\sf \rightarrow 9x^2 - 6x - 6x+ 4`

factor the common term '3x' and '-2'

`\sf \rightarrow 3x(3x - 2) -2( 3x-2)`

collect into groups

`\sf \rightarrow (3x -2)( 3x-2)`

simplify the following

`\sf \rightarrow (3x -2)^2`