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Multiply polynomial $ \, \color{blue}{ x^6+7x^5+2x^4+9x^3+10x^2+12x+15 } \, $ by $ \, \color{orangered}{ x^6+9x^5+8x^4+9x^3+12x^2+15x+20 }$.
Answer
$$ \left( \color{blue}{x^6+7x^5+2x^4+9x^3+10x^2+12x+15} \right) \cdot \left( \color{orangered}{x^6+9x^5+8x^4+9x^3+12x^2+15x+20} \right) = x^{12}+16x^{11}+73x^{10}+92x^9+182x^8+291x^7+433x^6+599x^5+523x^4+609x^3+560x^2+465x+300 $$
Explanation
Explanation is too long to display.