Question

Factorise m(x - 3y)² - n(x - 3y) +5(x - 3y)​

Answer 1

Step-by-step explanation:

$m ({x - 3y})^{2} - n(x - 3y) + 5(x - 3y)$

Expand...

$= > m {(x - 3y)}^{2} - nx + 3ny + 5(x - 3y)$

$= > m {(x - 3y)}^{2} - nx + 3ny + 5x - 15y$

Simplify...

$= > { mx}^{2} - 6mxy + {9my}^{2} - nx + 3ny + 5x - 15y$

$\huge{ son \: prodigal}$

Answer 2

${\small{\red{m(x - 3y)² - n(x - 3y) +5(x - 3y)}}}$

$= = > x - 3y[m(x - 3y) - n+5]$

$= = > {\blue{(x - 3y)(mx - 3my - n+5)}}$

${\large{\mathcal{\green{Have \: a \: nice \: day \: ahead}}}}$