What is the simplified form of x+8/4-x+5/4

Step-by-step explanation:

x+ 8/4 -x+ 5/4

= x+2+-x +5/4

Combine Like Terms:

x+2+-x+ 5/4

(x+x)+ ( 2 +5/4)

= 13/4

combine

3

4

and  

x

.

3

x

4

+

5

8

=

4

x

Move all terms containing  

x

to the left side of the equation.

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−

13

x

4

+

5

8

=

0

Subtract  

5

8

from both sides of the equation.

−

13

x

4

=

−

5

8

Multiply both sides of the equation by  

−

4

13

.

−

4

13

⋅

(

−

13

x

4

)

=

−

4

13

⋅

(

−

5

8

)

Simplify both sides of the equation.

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x

=

5

26

The result can be shown in multiple forms.

Exact Form:

x

=

5

26

Decimal Form:

x

=

0.1

¯¯¯¯¯¯¯¯¯¯¯¯

923076

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

(x) - (y) = (1 + 4i)