Iquickly need the answer. simplify (x + 2y)³ - (x - 2y)³

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(x + 2y)³ - (x - 2y)³ = 16y³ + 12x²y.

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Step-by-step explanation:

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16y³ + 12x²y

Step-by-step explanation:

Using the identities

(a + b)³ = a³ + b³ + 3ab(a + b), with a = x and b = 2y

(x + 2y)³

= x³ + (2y)³ + 3x(2y)(x + 2y)

= x³ + 8y³ + 6xy(x + 2y)

= x³ + 8y³ +6x²y + 12xy² → (1)

And

(a - b)³ = a³ - b³ - 3ab(a - b), with a = x and b = 2y

(x - 2y)³

= x³ - (2y)³ - 3x(2y)(x - 2y)

= x³ - 8y³ - 6xy(x - 2y)

= x³ - 8y³ - 6x²y + 12xy² →(2)

(1) - (2)

= x³ + 8y³ + 6x²y + 12xy² - (x³ - 8y³ - 6x²y + 12xy²)

= x³ + 8y³ + 6x²y + 12xy² - x³ + 8y³ + 6x²y - 12xy² ← collect like terms

= 16y³ + 12x²y    

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step-by-step explanation:

well if he bought them at 5 cedis each sold them at 7 cedis each then he would make a profit of 2 cedis of each book. if in total he made 150 cedis profit that means he sold 75 books. he lost 12 books at the start so that means he originally bought a total of 82 books.

step-by-step explanation: