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Find the product of the sum of two perfect cubes
Find the product of the difference of two perfect cubes

97 points Find the product of the sum of two perfect cubes Find the product of the-example-1
User Monise
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1 Answer

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Remember:

The product of the sum of two perfect cubes:

a³ + b³ = (a + b)(a² - ab + b²)

The product of the difference of two perfect cubes:

a³ - b³ = (a - b)(a² + ab + b²)

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Remember to follow PEMDAS.

(5c)(5c) = 25c²

(5c)(-2/3) = -10c/3

(2/3)(5c) = 10c/3

(2/3)(-2/3) = -4/9

25c²- 10c/3 + 10c/3 - 4/9

Combine like terms

25c² (-10c/3 + 10c/3) - 4/9

25c² - 4/9

25c² - 4/9 is your answer

hope this helps

User Masaki
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