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Addition and Subtraction of Algebraic Expression

Subtract 4x...

Question

Subtract $4 x + 3 y + 2 z$ from $2 x - 6 y - 8 z$

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Solution

$2 x - 6 y - 8 z - (4 x + 3 y + 2 z)$

$= 2 x - 6 y - 8 z - 4 x - 3 y - 2 z$

$= - 2 x - 9 y - 10 z$

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Q. Distance between the two planes :

2 x + 3 y + 4 z = 4

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The distance between two parallel planes 2x + 3y + 4z = 4 and 4x + 6y + 8z = 12 is

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p_{1}, p_{2}, p_{3}

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