Question

please explain me this by words I can't able to understand
(2m+3n)² - (3m+2n)²
= (5m+5n) (-m+n)
= (5m+5n) (n-m)
= 5 (m+n) (n-m) (Ans.)​

Answer 1

(2m + 3n)² - (3m + 2n)²

=> {(2m+3n) + (3m+2n)} {(2m+3n) - (3m+2n)}

[using the formula a²-b² = (a+b)(a-b), here a = (2m+3n) & b = (3m+2n)]

=> {2m+3n+3m+2n} {2m+3n-3m-2n}

=> (2m+3m+3n+2n) (2m-3m+3n-2n)

=> (5m + 5n)(-m + n)

=> (5m + 5n)(n - m)

=> 5 (m + n) (n - m).....[taking 5 common]

=> 5(m+n)(n-m)...[Ans.]

Hope you understood the explanation. :-)

Answer 2

(2m+ 3n)^2- (3m+2n)^2

_______ ________

A B

(a^2 - b^2) = ( a+b) ( a-b)

(2m+3n+3m+2n) (2m+3n-3m-2n)

(5m+5n) ( -m+n)

(5m+5n) (n-m)

5(m+n) (n-m)