Question

(m+2n)² x² - 22x (m+2n) +72

Answer 1

Answer:

(mx + 2nx - 18) (mx + 2nx - 4)

Step-by-step explanation:

(m+2n)² x² - 22x (m+2n) +72

$\bold \red{Factorisation : }$

(m+2n)² x² - 22x (m+2n) +72

= { (m+2n)x }² - 2.11.(m+2n)x + 121 - 49

=[ { (m+2n)x }² - 2.11.(m+2n)x + (11)² ] - [ (7)² ]

= { (m+2n)x - 11 }² - (7)²

= { (m+2n)x - 11 - 7 } { (m+2n)x - 11 + 7 }

= (mx + 2nx - 18) (mx + 2nx - 4)