Simplify the following expressions:
1. [tex]2(5x - 3) - (2x + 4)[/tex]
2. [tex]24x - 12y + \frac{40}{4}[/tex]
3. [tex](2x)(3y) + 2(-xy)[/tex]
Answer (2)
2 ( 5 x − 3 ) − ( 2 x + 4 ) = 2 ⋅ 5 x − 2 ⋅ 3 − 2 x − 4 = 10 x − 6 − 2 x − 4 = 8 x − 10 ( 24 x − 12 y + 40 ) : 4 = 24 x : 4 − 12 y : 4 + 40 : 4 = 6 x − 3 y + 10 ( 2 x ) ( 3 y ) + 2 ( − x y ) = 6 x y − 2 x y = 4 x y
The simplified forms of the expressions are: 8 x − 10 , 24 x − 12 y + 10 , and 4 x y . By distributing and combining like terms, we arrived at these results. Each expression was treated step-by-step for clarity.
;
