Question

Write the difference of expressions as a and simplify it: 17x−13y+8 and 20x+6y._
_-_=_

Answer 1

The difference in expression is written with a - sign in between

The difference of 17x-13y+8 and 20x+6y is :

17x-13y+8-( 20x+6y)

There is a - sign outside the bracket ,if we open the bracket the signs will change.

17x-13y+8-(20x+6y)

=17x-13y+8-20x-6y

=17x-20x-13y-6y+8( Rearranging the terms)

=-3x-19y+8(Simplifying like terms)

Answer 2

`=(17x-13y+8)-(20x+6y)=-3x-19y+8`

Explanation:

Given : Expressions
`17x-13y+8` and
`20x+6y`

To find : Write the difference of expressions and simplify it ?

Solution :

The difference means subtracting the two expression,

Let
`17x-13y+8` ....(1)

`20x+6y` ....(2)

Subtract (2) from (1),

`(17x-13y+8)-(20x+6y)`

Simplifying it,

`=17x-13y+8-20x-6y`

`=-3x-19y+8`

Therefore,
`=(17x-13y+8)-(20x+6y)=-3x-19y+8`