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Algebraic Expressions

Subtract: 2x2...

Question

$Subtract: 2 x^{2} + 6 - 4 x from 3 x^{2} - 6 x + 8.$

A

x^{2} - 2 x + 2

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B

2 x^{2} - 2 x + 2

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C

x^{2} + 2 x + 2

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D

x^{2} - 8 x + 2

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Solution

The correct option is A $x^{2} - 2 x + 2$
To subtract: $(3 x^{2} - 6 x + 8) - (2 x^{2} + 6 - 4 x)$

Grouping like terms together, we get
$= (3 x^{2} - 2 x^{2}) + (- 6 x - (- 4 x)) + (8 - 6) = x^{2} - 2 x + 2$

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2 x^{2} + 6 - 4 x

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