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Algebra Level 1

Simplify 2 ( a + b − 3 c ) + 9 c − 2 ( a + b ) 2(a + b - 3c) + 9c - 2(a + b) .

6 c 6c 8 c + a 8c + a a − b a - b 3 c 3c

Heder Oliveira Dias by Heder Oliveira Dias , 38, Brazil

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3 solutions

Pham Khanh
Apr 17, 2016

2 ( a + b − 3 c ) + 9 c − 2 ( a + b ) 2(a+b-3c)+9c-2(a+b) = 2 ( a + b ) − 2 ( 3 c ) + 9 c − 2 ( a + b ) =2(a+b)-2(3c)+9c-2(a+b) = [ 2 ( a + b ) − 2 ( a + b ) ] + [ 9 c − 6 c ] =[2(a+b)-2(a+b)]+[9c-6c] = 0 + 3 c =0+3c = 3 c =3c Hence, the answer is 3 c \boxed{3c}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Multiplying the expression we get 2 a + 2 b − 6 c + 9 c − 2 a − 2 b = 3 c 2a+2b-6c+9c-2a-2b=\boxed{3c} .

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Ashish Menon
Jun 29, 2016

2 ( a + b − 3 c ) + 9 c − 2 ( a + b ) = 2 a + 2 b − 6 c + 9 c − 2 a − 2 b = 3 c \begin{aligned} 2(a+b-3c) + 9c - 2(a+b) & = 2a+2b-6c+9c-2a-2b\\ & = \color{#3D99F6}{\boxed{3c}} \end{aligned}

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