Simplify ( a + 2b) ( 2a – b + c) – (2a – b) c
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Answer:
2a² + 3ab + 3ac + 3bc - 2b²
Step-by-step explanation:
( a + 2b) ( 2a – b + c) – (2a – b) c
= a ( 2a - b + c ) + 2b ( 2a - b + c ) - ( 2ac - bc )
= 2a² - ab + ac + 4ab - 2b² + 2bc - 2ac + bc
= 2a² - ab + 4ab + ac - 2b² + 2bc + bc - 2ac
= 2a² + 3ab + 3ac + 3bc - 2b²
Hope this answer helps!
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