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## Answers

MULTIPLY USING DISTRIBUTIVE PROPERTY

= (a² + 2ab + b²)(a+b)

= a³ + 2a²b + ab² + a²b + 2ab² + b³

COMBINE SIMILAR TERMS

(a+b)³ = a³ + 3a²b + 3ab² + b³

From the given: (7 +c )³

we let:

a = 7

b = c

Then substitute to the final equation:

(7 + c)³ = (7)³ + (3)(7²)(c) + (3)(7)(c²) + (c³)

= 343 + 147c + 21c² + c³

= c³ + 21c² + 147c + 343 ANSWER...