How do you simplify $a + 2 c - 5 b - c + a - b$ $a + 2c - 5b - c + a - b$ ?

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Answer 1 · 2016-03-17T13:44:48

$a + a + 2 c - c - 5 b - b$ $a+a+2c-c-5b-b$
= $2 a + c - 6 b$ $2a+c-6b$

Answer 2 · 2016-08-20T12:20:31

$2 a - 6 b + c$ $color(red)(2a)color(olive)(-6b)color(blue)(+c)$

This is addition of algebraic terms.

In Algebra we may only add terms that are like (the same).

There are 6 terms - we can re-arrange them to have the like terms together. The terms are usually arranged in alphabetical order.

$a + 2 c - 5 b - c + a - b$ $color(red)(a)color(blue)(+2c)color(olive)(-5b)color(blue)(-c)color(red)(+a)color(olive)(-b)$

= $a + a - 5 b - b + 2 c - c$ $color(red)(a)color(red)(+a)color(olive)(-5b)color(olive)(-b)color(blue)(+2c)color(blue)(-c)$

We only add the numerical coefficients (the numbers in front of the terms) and keep the variables the same.

= $2 a - 6 b + c$ $color(red)(2a)color(olive)(-6b)color(blue)(+c)$

Remember that if no number is written it means there is 1.

$a = 1 a$ $color(red)(a = 1a)$

How do you simplify a+2c−5b−c+a−ba + 2c - 5b - c + a - b ?