Question

Please HELPPPPP !!! ( 5/8 mn+1.4m^2k+0.3km^2−2.5n^3k) −( 1/2 mn+4kn^3+ 1/8 mn)

Answer 1

`k(1.7m^2-6.5n^3)`

Step-by-step explanation:

We have been given an expression
`( (5)/(8)mn+1.4m^2k+0.3km^2-2.5n^3k)-( (1)/(2)mn+4kn^3+(1)/(8) mn)` and we are asked to simplify our given expression.

First of all we will remove parenthesis.

`(5)/(8)mn+1.4m^2k+0.3km^2-2.5n^3k-(1)/(2)mn-4kn^3-(1)/(8) mn)`

Let us combine like terms.

`((5)/(8)mn-(1)/(2)mn-(1)/(8) mn)+(1.4m^2k+0.3km^2)+(-2.5n^3k-4kn^3)`

Let us have a common denominator.

`((5)/(8)mn-(4)/(8)mn-(1)/(8) mn)+(1.4m^2k+0.3km^2)+(-2.5n^3k-4kn^3)`

Upon combining like terms we will get,

`((5-4-1)/(8)mn)+(1.7m^2k)+(-6.5n^3k)`

`((5-5)/(8)mn)+1.7m^2k-6.5n^3k`

`((0)/(8)mn)+1.7m^2k-6.5n^3k`

`0+1.7m^2k-6.5n^3k`

Let us factor out k.

`k(1.7m^2-6.5n^3)`

Therefore, our expression simplifies to
`k(1.7m^2-6.5n^3)`.