Question

Factor 20mn-15m
solve (5/6z + 5)+(-1/3z-4)
Show work

Answer 1

`5m(4n - 3)`

`\frac12z+1`

Explanation:

Given expression:

`20mn-15m`

Rewrite 20 as
`4\cdot 5`

Rewrite 15 at
`3 \cdot 5`

Therefore,

`20mn-15m=4\cdot 5m\cdot n-3 \cdot 5m`

Factor out common term
`5m` :

`\implie 5m(4n-3)`

-------------------------------------------------------------------------------------

Given expression:

`\left(\frac56z + 5\right)+\left(-\frac13z-4\right)`

Simplify:

`\frac56z+5-\frac13z-4`

Group like terms:

`\frac56z-\frac13z+5-4`

Combine like terms:

`\frac12z+1`

Answer 2

Factorisation:

`\rightarrow \sf 20mn-15m`

take 5m as common term

`\rightarrow \sf 5m\left(4n-3\right)`

solving/simplifying:

`\rightarrow \sf \left((5)/(6)z\:+\:5\right)+\left(-(1)/(3)z-4\right)`

`\rightarrow \sf (5)/(6)z+5-(1)/(3)z-4`

`\rightarrow \sf (5)/(6)z-(1)/(3)z+5-4`

`\rightarrow \sf (5)/(6)z-(1(2))/(6)z+1`

`\rightarrow \sf (5-2)/(6)z+1`

`\rightarrow \sf (3)/(6)z+1`

`\rightarrow \sf (1)/(2)z+1`