Question

1. х2 – m2 + 6mn - 9n?​

Answer 1

Answer :

= ( x + m - n ) ( x - m + n )

step by step explanation :

Given,

= x² - m² + 6mn - 9n²

Further simplifying,

we get,

= x² - ( m² - 6mn + 9n² )

= x² - [ (m)² - 2(m)(3n) + (3n)² ]

now,

we know that,

= a² - 2ab + b² = ( a - b )²

Therefore,

using this identity,

we get,

= (x)² - ( m - n )²

Also,

we know that,

= a² - b² = ( a + b ) ( a - b )

Therefore,

using this identity,

we get,

= ( x + m - n ) ( x - m + n )

Answer 2

Answer:

6mn - 9n + 2x - 2m

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

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