Using the distributive properties, simplify the following:
$(25 \times 166) + (25 \times 134)$

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Solution

Simplifying the given expression
$(25 \times 166) + (25 \times 134)$
$= 25 (166 + 134)$ $[B y u s i n g d i s t r i b u t i v e p r o p e r t y : a \times b + a \times c = a (b + c)]$
$= 25 \times 300$
$= 7500$
Hence, $(25 \times 166) + (25 \times 134) = 7500$

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