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## Answers

*We can simply multiply it by itself three times but we can also simply do this instead:*

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ + 3a²b + 3ab² + b³

(but since the operation used is subtraction, at the end it'll look like this: a³ - 3a²b + 3ab² - b³ but it's just the same, anyway.)

The cube of the square of the binomial is equal to the cube of the first ter

*m*

*plus*three multiplied to the product of the square of the first term and the second term

*plus*three multiplied to the product of the first term and square of the second term

*plus*the cube of the second term.

Ex.:

(3x + 9) = (3x)³ + 3(3x)²(9) + 3(3x)(9)² + (9)³

= 27x³ + 243x² + 729x + 729

(5m - 17) = (5m)³ + 3(5m)²(-17) + 3(5m)(17)² + (-17)³

=125m³ + (-1275m²) + 4335m + (-4913)

= 125m³ - 1275m² + 4335m - 4913