Problem

Simplify:
\[
\left(3 x^{2}+2 x-8\right)-\left(-x^{2}+6 x+4\right)
\]
A. \( 2 x^{2}+8 x-4 \)
B. \( 2 x^{2}+8 x-12 \)
C. \( 4 x^{2}+8 x-4 \)
D. \( 4 x^{2}-4 x-12 \)

Answer

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Answer

\( 4x^{2} - 4x - 12 \)

Steps

Step 1 :\( (3 x^{2}+2 x-8) - (-x^{2}+6 x+4) \)

Step 2 :\( 3x^{2} + 2x - 8 + x^{2} - 6x - 4 \)

Step 3 :\( 4x^{2} - 4x - 12 \)

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