Question

Name the polynomial: 2m+3n−4n *

Answer 1

Answer:

Let (a−b) and (c−d) be two binomials. By using the distributive law of multiplication over subtraction twice, we can find their product as given below.

(a−b)×(c−d)=a×(c−d)−b×(c−d)=(a×c−a×d)−(b×c−b×d)

=ac−ad−bc+bd

∴(3m−4n)(2m−3n)

=3m×(2m−3n)−4n×(2m−3n)

=[(3m×2m)−(3m×3n)]−[(4n×2m)−(4n×3n)]

=(6m

2

−9mn−8mn+12n

2

)

=(6m

2

−17mn+12n

2

)