Question

algebraic expression
$3v + 7v - v + v =$
$3x - 2y + 4z + 3y - 2z =$
$a - 2b - c - (3a - b + c) =$
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Answer 1

ANSWER:

1st solution :-

3v + 7v - v + v = ?

Cancelling the opposite terms

$\small \to \rm{3v + 7v - \cancel{ v} + \cancel{v}} \\ \small \to \rm{3v + 7v = 10v}$

Hence,

$\large\fcolorbox{green}{orange}{ \rm{3v + 7v -v + v = 10v}}$

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2nd solution:-

3x - 2y + 4z + 3y - 2z = ?

→ 3x + y + 2x

Hence, 3x - 2y + 4z + 3y - 2z = 3x + y + 2x

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3rd solution:-

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

→ a - 2b - c - 3a + b - c

→ - 2a - b - 2c

→ - (2a + b + 2c)

Hence, a - 2b - c - (3a - b + c) = - (2a + b + 2c)