Subtract $a + 2 b - 3 c$ from the sum of $2 a + 4 b + 7 c$ and $2 a - 5 b + 3 c$

Open in App

Solution

Sum of $2 a + 4 b + 7 c$ and $2 a - 5 b + 3 c$
$= (2 a + 4 b + 7 c) + (2 a - 5 b + 3 c) = 2 a + 2 a + 4 b - 5 b + 7 c + 3 c = 4 a - b + 10 c$
Now,
$= (4 a - b + 10 c) - (a + 2 b - 3 c) = 4 a - b + 10 c - a - 2 b + 3 c = 3 a - 3 b + 13 c$

Suggest Corrections

Similar questions

From the sum of $a + b - 3 c$ and $b + c - a$ subtract the sum of $3 c - 8 b + 2 a$ and $- 2 c + 5 a - 2 b$

a (2 a + b - c) - b (a - 2 b + 2 c)

3 c (- 2 a + 3 b + c)

3 c (2 b - 2 a) + 2 a (b + 3 c) - 2 b (3 c + a)

Join BYJU'S Learning Program