Question

Find the product, using suitable properties:625 × (–35) + (– 625) × 65

Answer 1

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$625 \times ( - 35) +( - 625) \times 65 \\ = - 625(35 + 65) \\ = - 625(100) \\ = - 62500$

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Answer 2

625 × (–35) + (– 625) × 65

Group them since both have 625:

= [ 625 × (–35)]  + [ (– 625) × 65]

Apply (-a) x b is the same as a x (-b):

= [ 625 × (–35)]  + [ 625 × (-65) ]

Take out common factor 625:

= 625 (- 35 - 65)

Evaluate the values in the bracket:

= 625 ( - 100)

Multiply:

= -62500

Answer: - -62500