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TRUE OR FALSE (Justify your answer. If the statement is false, modify the statement to...

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alwaysaboveall32 | Student, Undergraduate | eNotes Newbie

Posted May 21, 2012 at 10:53 AM via web

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TRUE OR FALSE (Justify your answer. If the statement is false, modify the statement to make it true):

2(x+1)+y(x+1)=(2+y)(x+1)

 

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thilina-g | College Teacher | (Level 1) Educator

Posted May 21, 2012 at 11:24 AM (Answer #1)

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It is true.

LHS:

`2(x+1)+y(x+1)`

We can take `(x+1)` factor out as below,

`(x+1)(2+y)`

 

Therefore `LHS=RHS` .

And the statement is true.

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted May 22, 2012 at 11:03 AM (Answer #2)

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You may identify two methods of checking if the statement is true, at least. One method is described in previous answer, hence you may also use the alternative method to do the verification.

You may also open the brackets both sides and then you should compare the results such that:

`2x + 2 + xy + y = 2x + 2 + xy + y`

Notice that you also may find the terms from the left side to the right side, hence the given statement is true.

 

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cornert07 | College Teacher | (Level 2) Adjunct Educator

Posted May 23, 2012 at 2:39 PM (Answer #3)

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Yes this is correct.

To work out the answer easily all you need to do is multiply out all of the brakets and you can clearly see that both sides equal the same thing.

2x+2+xy+y=2x+2+xy+y

Hope that helps!!!

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vaaruni | High School Teacher | Salutatorian

Posted June 19, 2012 at 6:07 AM (Answer #4)

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The statement  2(x + 1) + y(x + 1) = (2 + y)(x + 1)  is true

L.H.S  = 2(x + 1) + y(x + 1) = 2x + 2 + xy + y

R.H.S = (2 + y)(x + 1) = 2x + 2 + xy + y

Since L.H.S = R.H.S  

Hence the statement  2(x+1)+y(x+1)=(2+y)(x+1)  is true

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