$$15+5x^{2}-10x+2x-2x^{2}-5$$
$3x^{2}-8x+10$
$$15+5x^{2}-8x-2x^{2}-5$$
$$15+3x^{2}-8x-5$$
$$10+3x^{2}-8x$$
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$6x-8$
$$\frac{\mathrm{d}}{\mathrm{d}x}(15+5x^{2}-8x-2x^{2}-5)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(15+3x^{2}-8x-5)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(10+3x^{2}-8x)$$
$$2\times 3x^{2-1}-8x^{1-1}$$
$$6x^{2-1}-8x^{1-1}$$
$$6x^{1}-8x^{1-1}$$
$$6x^{1}-8x^{0}$$
$$6x-8x^{0}$$
$$6x-8$$
