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

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