If x + 5y = 10; find the value of x 3 + 125y 3 + 150xy - 1000.

Given, ⇒ x + 5y = 10 Cubing both sides we get : ⇒ (x + 5y) 3 = 10 3 ⇒ x 3 + (5y) 3 + 3 × x × 5y × (x + 5y) = 1000 ⇒ x 3 + 125y 3 + 15xy × 10 = 1000 ⇒ x 3 + 125y 3 + 150xy - 1000 = 0. Hence, x 3 + 125y 3 + 150xy - 1000 = 0.

Mathematics

If x + 5y = 10; find the value of x³ + 125y³ + 150xy - 1000.

Expansions

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Answer

Given,

⇒ x + 5y = 10

Cubing both sides we get :

⇒ (x + 5y)³ = 10³

⇒ x³ + (5y)³ + 3 × x × 5y × (x + 5y) = 1000

⇒ x³ + 125y³ + 15xy × 10 = 1000

⇒ x³ + 125y³ + 150xy - 1000 = 0.

Hence, x³ + 125y³ + 150xy - 1000 = 0.

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Mathematics

If x + 5y = 10; find the value of x³ + 125y³ + 150xy - 1000.

Expansions

Answer

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If x + 5y = 10; find the value of x3 + 125y3 + 150xy - 1000.

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