Question

Please help me ffftrrsse

Answer 1

Answer:

ab=ba,   5(3x-2)=5.(3x)-5.(2)=15x-10,   $\frac{1}{2}(4-2x)=\frac{1}{2}.4-\frac{1}{2}.2x=2-x$,   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)$\frac{1}{2}(4-2x)$

By distributive property, (a(b+c)=a.b+a.c)

$\frac{1}{2}(4-2x)=\frac{1}{2}.4-\frac{1}{2}.2x=2-x$which is not equivalent to 2-2x

6) $\frac{1}{2}(6x-2)$

By distributive property, (a(b+c)=a.b+a.c)

$\frac{1}{2}(6x-2)=\frac{1}{2}.(6x)-\frac{1}{2}.2=3x-1$ 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