)) Use algebra tiles to find \( \left(10 x^{2}-6\right)+\left(-2 x^{2}+8 x-8\right) \)

To use algebra tiles for the expression \( \left(10 x^{2}-6\right)+\left(-2 x^{2}+8 x-8\right) \), first represent \( 10x^2 \) with 10 large square tiles, represent \( -6 \) with 6 negative unit tiles, and for \( -2x^2 + 8x - 8 \), use 2 fewer large square tiles (2 negative tiles), 8 positive x tiles, and 8 negative unit tiles. Now, combine the tiles: - For \( x^2 \) tiles: \( 10 - 2 = 8 \) large square tiles remain. - For \( x \) tiles: only positive 8 tiles are present. - For unit tiles: \( -6 - 8 = -14 \) unit tiles. So the combined expression with tiles shows \( 8x^2 + 8x - 14 \) as the final result! Remember, visualizing through tiles makes it easier to handle algebraic expressions like this!