Answer:
ab=ba, 5(3x-2)=5.(3x)-5.(2)=15x-10, [tex]\frac{1}{2}(4-2x)=\frac{1}{2}.4-\frac{1}{2}.2x=2-x[/tex], 32y+12y=44y, 12+3x-x-12 = 2x
Step-by-step explanation:
In the given questions
3) ab is given it is which is written as
By Commutative property , ab=ba
4) 5(3x-2)
By distributive property,
5(3x-2)=5.(3x)-5.(2)=15x-10 (∵a(b+c)=a.b+a.c)
5)[tex]\frac{1}{2}(4-2x)[/tex]
By distributive property, (a(b+c)=a.b+a.c)
[tex]\frac{1}{2}(4-2x)=\frac{1}{2}.4-\frac{1}{2}.2x=2-x[/tex]which is not equivalent to 2-2x
6) [tex]\frac{1}{2}(6x-2)[/tex]
By distributive property, (a(b+c)=a.b+a.c)
[tex]\frac{1}{2}(6x-2)=\frac{1}{2}.(6x)-\frac{1}{2}.2=3x-1[/tex] which is not equivalent to 3-x
7) 32y+12y
32y+12y=(32+12)y (∵ distributive property)
= 44y
8) 12+3x-x-12
12+3x-x-12=12+(3-1)x-12 (∵ distributive property)
= 12+(2x-12)
= 12+(-12+2x) (∵ commutative property)
= (12-12)+2x (∵ associative property)
= 2x
