Question

6r-r+8(15-r)+23-6

is -3r+137 equivalent to the given expression
and explain how the expressions are or not.

Answer 1

Therefore,

`6r-r++(15-r)+23-6 = -3r+137` i.e

`6r-r+8(15-r)+23-6` and

`-3r+137` are Equivalent .

Explanation:

To Check:

`6r-r+8(15-r)+23-6` and

`-3r+137` is Equivalent or Not

Solution:

Consider,

`6r-r+8(15-r)+23-6`

Step 1 . Apply Distributive Property , A(B+C)=AB+AC we get

`6r-r+8* 15-8* r+23-6`

`6r-r+120-8r+23-6`

Step 2 . Combining Like Terms i.e r terms and the numbers we get

`6r-r-8r+120+23-6`

`-3r+137`

Which is Equivalent to the given expression

`-3r+137`

Therefore,

`6r-r+8(15-r)+23-6= -3r+137` i.e

`6r-r+8(15-r)+23-6` and

`-3r+137` ..........are Equivalent .