What must be subtracted from $ab+bc+2abc$ to get $a+b+c+abc$?

Given:

The first polynomial is $ab+bc+2abc$ and the second polynomial is $a+b+c+abc$.
To do:

We have to find the polynomial that must be subtracted from $ab+bc+2abc$ to get $a+b+c+abc$.
Solution:

Let the polynomial that must be subtracted from $ab+bc+2abc$ to get $a+b+c+abc$ be $x$.
Therefore,

$(ab+bc+2abc)-x=a+b+c+abc$

$x=ab+bc+2abc-(a+b+c+abc)$

$x=ab+bc+2abc-abc-a-b-c$

$x=ab+bc+abc-a-b-c$
 The required polynomial is $ab+bc+abc-a-b-c$.

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Updated on: 10-Oct-2022

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