Question

Add the following algebraic expression: 6l²m² – 4lm³+ 4 – 3lm , 9 + 8lm³ – 8l²m²​

Answer 1

4lm^3 + 4 - 3lm + 9 + 8lm^3 - 8l^2m^2

= 12lm^3 - 8l^2m^2 - 3lm + 13

= (12lm^3 - 8l^2m^2 - 3lm) + 13

= lm(12m^2 - 8lm - 3) + 13

= lm[ (12m^2 - 8lm ) - 3 ] + 13

= lm [ 4(3m^2 - 2lm) - 3 ] + 13

= 4lm [ (3m^2 - 3) - 2lm ] + 13

= 4lm [ 3(m^2 - 1) - 2lm ] + 13

= 12lm [ (m^2 - 2lm ) - 1 ] + 13

= 12lm [ m(m-2l) - 1 ] + 13

= 12m^2 [ m - 2l - 1 ] + 13

= 12m^2 ( m - 2l - 1 ) + 13 ANSWER