Question

find the value using distribution property (- 45) × 25 + 25 × (-35)​

Answer 1

SOLUTION

TO DETERMINE

Find the value using distributive property

\sf{( - 65) \times 25 + 25 \times ( - 35)}(−65)×25+25×(−35)

CONCEPT TO BE IMPLEMENTED

Distributive Property

For three Real Numbers a , b , c

\sf{a \times (b + c) = (a \times b) + (a \times c)}a×(b+c)=(a×b)+(a×c)

EVALUATION

\sf{( - 65) \times 25 + 25 \times ( - 35)}(−65)×25+25×(−35)

\sf{ = 25 \times ( - 65 - 35)} \: \: ( \: By \: Distributive \: Property \: )=25×(−65−35)(ByDistributiveProperty)

\sf{ = 25 \times ( - 100)}=25×(−100)

\sf{ = - 2500}=−2500

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