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

Distributive Property Formula means to divide a given operand and operation to solve a given equation in a much easier way.

Answer: (a) 5940 (b) 5427900 (c) 8126500 (d) 19225000

Let's evaluate the following using the distributive property

Explanation:

Distributive property states that for any expression of the form a (b + c), which means a × (b + c), operand "a" can be distributed among operands "b" and "c" as: (a × b + a × c)

i.e.,a × (b + c) = a × b + a × c

(a) 297 × 17 + 297 × 3 = 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 = 19225 × 782 + 19225 × 218

= 19225 × (782 + 218)

= 19225 × 1000