Question

factorise 64x³-8y+120xy+125

Answer 1

Answer:

Question :-

➠ 64x³ - 8y + 120xy + 125

Formula used :-

➪ a³ + b³ + c³ - 3abc

➭ (a + b + c) (a² + b² + c² - ab - bc - ac)

Answer :-

➠ 64x³ - 8y + 120xy + 125

➻ 64x³ - 8y + 125 + 120xy

➻(4x)³ + (-2y)³ + (5)³ - {3 × (4x) × (-2y) × (5)}

➻ (4x - 2y + 5) {(4x)² + (-2y)² + (5)² - 4x × (-2y) - (-2y) × 5 - 4x × 5}

➻ (4x - 2y + 5) (16x² + 4y² + 25 + 8xy + 10y - 20x)

∴ The value of 64x³ - 8y + 120xy + 125 is (4x - 2y + 5) (16x² + 4y² + 25 + 8xy + 10y - 20x)