- #1

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## Homework Statement

Simplify (A+B')(B+C)

## The Attempt at a Solution

I first expanded it and got

= AB + AC + B'B + B'C

= AB + AC + B'C

Turns out the solution is AB + B'C (according to an online source). How do we get rid of the AC term?

- Thread starter theBEAST
- Start date

- #1

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Simplify (A+B')(B+C)

I first expanded it and got

= AB + AC + B'B + B'C

= AB + AC + B'C

Turns out the solution is AB + B'C (according to an online source). How do we get rid of the AC term?

- #2

NascentOxygen

Staff Emeritus

Science Advisor

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If B is true, then for the expression to be true, the only condition that need be met is that A is true, and it doesn't matter what C is.

If B is false, then for the expression to be true all we need is that C is true, it doesn't matter what A is.

Just as in algebra you can multiply any term by 1 and you don't change its value, then in Boolean algebra you can multiply a term by true and you change nothing.

For example, (B+B') is true, and it's always true.

AB + AC(B+B') + B'C

expand this out, then simpify the result

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