Evaluate
\left(u+2v\right)\left(2u+7v\right)
Expand
2u^{2}+11uv+14v^{2}
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2u^{2}+4uv+7vu+14v^{2}
Apply the distributive property by multiplying each term of 2u+7v by each term of u+2v.
2u^{2}+11uv+14v^{2}
Combine 4uv and 7vu to get 11uv.
2u^{2}+4uv+7vu+14v^{2}
Apply the distributive property by multiplying each term of 2u+7v by each term of u+2v.
2u^{2}+11uv+14v^{2}
Combine 4uv and 7vu to get 11uv.
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