Question

Multiply:
(vii)$-3m^{2}n+5mn-4m{n}^{2}and6m^{2}n$

Answer 1

Step: Multiplying the given expressions
Given, $-3m^{2}n+5mn-4m{n}^{2}and6m^{2}n$
Required product $=6m^{2}n\times (-3m^{2}n+5mn-4m{n}^2)$
$=6\times -3\times m^{2}n\times m^{2}n+6\times 5\times m^{2}n\times mn-6\times 4\times m^{2}n\times m{n}^2$ $=-18\times m^2\times m^2\times n\times n+30\times m^2\times m\times n\times n-24\times m^2\times m\times n\times n^2$ $=-18m^4{n}^2+30m^3{n}^2-24m^3{n}^3[a^m\times a^n=a^{(}m+n)]$ Hence, the answer is $-18m^4{n}^2+30m^3{n}^2-24m^3{n}^3$