124. Evaluate using the distributive property:
(i) \(−39\times99\)
(ii) \((−85)\times43 + 43\times(−15)\)
(iii) \(53\times(−9) − (−109)\times53\)
(iv) \(68\times(−17) + (−68)\times3\)
(i) −3861
(ii) −4300
(iii) 5300
(iv) −1360
(i) \(−39(100−1)=−3900+39=−3861\).
(ii) Factor 43: \(43[(−85)−15]=43(−100)=−4300\).
(iii) Factor 53: \(53[(−9)+109]=53\times100=5300\).
(iv) Factor 68: \(68[(−17)−3]=68(−20)=−1360\).