Find the value of the following:

(a) 297 × 17 + 297 × 3


(b) 54279 × 92 + 8 × 54279


(c) 81265 × 169 – 81265 × 69


(d) 3845 × 5 × 782 + 769 × 25 × 218

(a) 297 × 17 + 297 × 3


As we can clearly see it is in the form of;


= ab+ac


= a(b+c)


So,


= 297 × (17+3)


= 297 + 20


= 5940


(b) 54279 × 92 + 8 × 54279


= 54279 × (92+8)


= 54279 × 100


= 5427900


(c) 81265 × 169 – 81265 × 69


= 81265 × (169-69)


= 81265×100


= 8126500


(d) 3845 × 5 × 782 + 769 × 25 × 218


= 3845×5×782+769×5×5×218


= 3845×5×782+3845×5×218


= 3845×5 × (782+218)


= 19225×1000


= 19225000


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