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Question

Find the product, using suitable properties:
(a) 625 × (− 35) + (− 625) × 65
(b) (− 17) × (− 29)
[4 MARKS]

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Solution

Each option: 2 Marks
a) 625 × (−35) + (−625) × 65
= 625 × [(−35) + (−65)]
( (a × b) + (a × c) = a × (b + c))
= 625 × (−100) = −62500

b) (−17) × (−29)
= (−17) × [−30 + 1]
= [(−17) × (−30)] + [(−17) × 1]
( a × (b + c) = (a × b) + (a × c)
= (510) + (−17) = 493

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