Find the square of the following.
1. (400 - 125)²
Find the cube of the following
2. (7x)³
Find the special product of the cube od a binomial.
3. (3x - 2y)³
1. (400 - 125)²
Find the cube of the following
2. (7x)³
Find the special product of the cube od a binomial.
3. (3x - 2y)³
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Answer:
1. (400 - 125)²
2. (7x)³
3. 27x³ - 54x² + 36xy - 8y
Step-by-step explanation:
1. ² is the square
2. ³ is the cube
3. cube of a binomial formula:
(a - b)³ = a³ - 3a²b + 3ab² - b³
= a³ - 3ab(a-b) - b³
(3x - 2y)³ = (3x)³ - 3(3x)² (2y) - 3(3x)(2y)² - 2y³
= 27x³ - 54x² + 36xy - 8y
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