question_answer 1)

                Complete the table of products.

\[\frac{\text{First}\,\text{monomial}\,\to }{\text{Second}\,\text{monomial}\,\downarrow }\]	\[2x\]	\[-5y\]	\[3{{x}^{2}}\]	\[-4xy\]	\[7{{x}^{2}}y\]	\[-9{{x}^{2}}{{y}^{2}}\]
\[2x\]	\[4{{x}^{2}}\]	-	-	-	-	-
\[-5y\]	-	-	\[-15{{x}^{2}}y\]	-	-	-
\[3{{x}^{2}}\]	-	-	-	-	-	-
\[-4xy\]	-	-	-	-	-	-
\[7{{x}^{2}}y\]	-	-	-	-	-	-
\[-9{{x}^{2}}{{y}^{2}}\]	-	-	-	-	-	-

Answer:

\[\frac{\text{First}\,\text{monomial}\,\to }{\text{Second}\,\text{monomial}\,\downarrow }\]	\[2x\]	\[-5y\]	\[3{{x}^{2}}\]	\[-4xy\]	\[7{{x}^{2}}y\]	\[-9{{x}^{2}}{{y}^{2}}\]
\[2x\]	\[4{{x}^{2}}\]	\[-10xy\]	\[6{{x}^{3}}\]	\[-8{{x}^{2}}y\]	\[14{{x}^{3}}y\]	\[-18{{x}^{3}}{{y}^{2}}\]
\[-5y\]	\[-10xy\]	\[25{{y}^{2}}\]	\[-15{{x}^{2}}y\]	\[20x{{y}^{2}}\]	\[-35{{x}^{2}}{{y}^{2}}\]	\[45{{x}^{2}}{{y}^{3}}\]
\[3{{x}^{2}}\]	\[6{{x}^{3}}\]	\[-15{{x}^{2}}y\]	\[9{{x}^{4}}\]	\[-12{{x}^{3}}y\]	\[21{{x}^{4}}y\]	\[-27{{x}^{4}}{{y}^{2}}\]
\[-4xy\]	\[-8{{x}^{2}}y\]	\[20x{{y}^{2}}\]	\[-12{{x}^{3}}y\]	\[16{{x}^{2}}{{y}^{2}}\]	\[-28{{x}^{3}}{{y}^{2}}\]	\[36{{x}^{3}}{{y}^{3}}\]
\[7{{x}^{2}}y\]	\[14{{x}^{3}}y\]	\[-35{{x}^{2}}{{y}^{2}}\]	\[21{{x}^{4}}y\]	\[-28{{x}^{3}}{{y}^{2}}\]	\[49{{x}^{4}}{{y}^{2}}\]	\[-63{{x}^{4}}{{y}^{3}}\]
\[-9{{x}^{2}}{{y}^{2}}\]	\[-18{{x}^{3}}{{y}^{2}}\]	\[45{{x}^{2}}{{y}^{3}}\]	\[-27{{x}^{4}}{{y}^{2}}\]	\[36{{x}^{3}}{{y}^{3}}\]	\[-63{{x}^{4}}{{y}^{3}}\]	\[81{{x}^{4}}{{y}^{4}}\]