Question

Factorise:
$125 - 8x - 27y {3} - 90xy$
​

Answer 1

Step-by-step explanation:

$= 125 - 8x - 27 {y}^{3} - 90xy \\ = - 27 {y}^{3} + 125 - 90xy - 8x \\ = - (27 {y}^{3} - 125 + 90xy + 8x) \\ = - ({(3y)}^{3} - {(5)}^{3} + 2x(45y + 4)) \\ = - ((3y + 5)(3y - 5) + 2x(45y + 4))$

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Answer 2

Answer:

Correct Question :-

➔ 125 - 8x³ - 27y³ - 90xy

Answer :-

➔ 125 - 8x³ - 27y³ - 90xy

➻ (5)³ + (-2x)³ + (-3y)³ - 3 × (5) × (-2x) × (-3y)

We know that,

➻ x³ + y³ + z³ - 3xyz

➻ (x + y + z) ( x² + y² + z² - xy - yz - zx)

➻ { (5) + (-2x) + (-3y) } {(5)² + (-2x)² + (-3y)² - (5) × (-2x) - (-2x) × (-3y) - (-3y) × (5)

➻ (5 - 2x - 3y) (25 + 4x² + 9y² + 10y - 6xy + 15y)

∴ The value of 125 - 8x³ - 27y³ - 90xy is (5 - 2x - 3y) (25 + 4x²+ 9y² + 10y - 6xy + 15y)