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Question

# Simplify: (i)(−8) × 9 + (−8) × 7 (ii) 9 × (−13) + 9 × (−7) (iii) 20 × (−16) + 20 × 14 (iv) (−16) × (−15) + (−16) × (−5) (v) (−11) × (−15) + (−11) × (−25) (vi) 10 × (−12) + 5 × (−12) (vii) (−16) × (−8) + (−4) × (−8) (viii) (−26) × 72 + (−26) × 28

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Solution

## (i) (−8) $×$ (9 + 7) [using the distributive law] = (−8) $×$ 16 = −128 (ii) 9 $×$ (−13 + (−7)) [using the distributive law] = 9 $×$ (−20) = −180 (iii) 20 $×$ (−16 + 14) [using the distributive law] = 20 $×$ (−2) = −40 (iv) (−16) $×$ (−15 + (−5)) [using the distributive law] = (−16) $×$ (−20) = 320 (v) (−11) $×$ (−15 +(−25)) [using the distributive law] = (−11) $×$ (−40) = 440 (vi) (−12) $×$ (10 + 5) [using the distributive law] = (−12) $×$ 15 = −180 (vii) (−16 + (−4)) $×$ (−8) [using the distributive law] = (−20) $×$ (−8) = 160 (viii) (−26) $×$ (72 + 28) [using the distributive law] = (−26) $×$100 = −2600

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