Suppose \( u \) and \( v \) belong to a vector space \( V \). Simplify each of the following expressions:
(a) \( E_1 = 3(2u - 4v) + 5u + 7v \)
(b) \( E_2 = 3u - 6(3u - 5v) + 7u \)
(c) \( E_3 = 2uv + 3(2u + 4v) \)
(d) \( E_4 = 5u - \frac{3}{v} + 5u \)
vector-spacevector-additionscalar-multiplicationdistributivityvector-space-axiomsundefined-operationslinear-algebrasimplify-expressionvector-algebralinear-combinationabstract-vector-spacevector-operations
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