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