The distributive property is expressed mathematically as:
x(y + z) = xy + xz
This means the equivalent expression for x(y + z) is xy + xz
Applying the above rule to the question,
8(10n−8p+9)
= 8 x 10n - 8 x 8p + 8 x 9
= (8 x 10n) - (8 x 8p) + (8 x 9)
= 80n - 64p + 72
Therefore the equivalent expression for 8(10n - 8p + 9) is 80n - 64p + 72
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