To rewrite the polynomial \((x + 8)(x - 2)\), we can use the distributive property (also known as the FOIL method for binomials):
\[ (x + 8)(x - 2) = x \cdot x + x \cdot (-2) + 8 \cdot x + 8 \cdot (-2) \]
Now, calculate each term:
- \(x \cdot x = x^2\)
- \(x \cdot (-2) = -2x\)
- \(8 \cdot x = 8x\)
- \(8 \cdot (-2) = -16\)
Now, combine all the terms together:
\[ x^2 - 2x + 8x - 16 = x^2 + 6x - 16 \]
Thus, the rewritten polynomial is:
\[ x^2 + 6x - 16 \]
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