Answer:
1)
![5* y-2xy=y(5-2x)](https://img.qammunity.org/2020/formulas/mathematics/high-school/xcb5q4q996qe4h15bndn0gbj56sp2pkq5b.png)
2)
![4q + 2q - 6=6(q-1)](https://img.qammunity.org/2020/formulas/mathematics/high-school/mtt7djha12hs9gepk1tv3ipvdox5z0xysy.png)
Explanation:
1)
![5* y-2xy](https://img.qammunity.org/2020/formulas/mathematics/high-school/azprn03psslv1jilg0zcmdwz4sszzmf3k4.png)
In both terms given in an expression has common variable of 'y', so we can take that common.
The expression will be written as:
![5* y-2xy=y(5-2x)](https://img.qammunity.org/2020/formulas/mathematics/high-school/xcb5q4q996qe4h15bndn0gbj56sp2pkq5b.png)
2)
![4q + 2q - 6](https://img.qammunity.org/2020/formulas/mathematics/high-school/xljla4bn5usf10mqhwhzlusesnn0q03ata.png)
In two terms out of three in an expression has common variable of 'q', so we can take that common.
The expression will be written as:
![4q + 2q - 6=2q(2+1)-6](https://img.qammunity.org/2020/formulas/mathematics/high-school/b8h9h2n4pal1rdgv251guwewhgvdaczejt.png)
![=2q(3)-6](https://img.qammunity.org/2020/formulas/mathematics/high-school/mpkmpmhin12yukokwqu9v1ctdtj9whlw76.png)
![=6q-6](https://img.qammunity.org/2020/formulas/mathematics/high-school/k1lgyfobjf00vb01ehiiux1581u8nh6529.png)
![4q + 2q - 6=6(q-1)](https://img.qammunity.org/2020/formulas/mathematics/high-school/mtt7djha12hs9gepk1tv3ipvdox5z0xysy.png)