3. Simplify the expression 5a - 4b - 2[a - (2b + c)]

asked Oct 28, 2022 32.3k views

5 votes

by Lee H

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Answer:

${ \tt{5a - 4b - 2{ (a - (2b + c))}}} \\ = { \tt{5a - 4b - 2a + 4b - 2c}} \\ { \tt{ = (5 - 2)a + ( - 4 + 4)b - 2c}} \\ { \tt{ = 3a - 2c}}$

6.8k points

5 votes

Answer:

Explanation:

5a - 4b -2[a - 2b + c] = 5a - 4b -2a + 4b - 2c {Distributive property}

= (5a - 2a) + (4b - 4b) - 2c {Group like terms}

= 3a - 2c

Dassum answered Nov 1, 2022

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