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Addition of Algebraic Expressions

Simplify the ...

Question

Simplify the following algebraic expression
$9 x^{2} + 6 x y z + 3 x - 24 x^{2} + 6 x$ .

A

7 x^{2} - 6 x y z + 3 x

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B

- 15 x^{2} + 6 x y z + 3 x

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C

- 15 x^{2} + 6 x y z + 9 x

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D

15 x^{2} - 6 x y z - 9 x

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Solution

The correct option is C $- 15 x^{2} + 6 x y z + 9 x$
Given: $9 x^{2} + 6 x y z + 3 x - 24 x^{2} + 6 x$
Grouping all like terms together in the above expression,
$(9 - 24) x^{2} + 6 x y z + (6 + 3) x$
= $- 15 x^{2} + 6 x y z + 9 x$

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