Question

factorise 1a3+b3+125c3-15abc​

Answer 1

Answer:

Question :-

➠ a³ + b³ + 125c³ - 15abc

Formula used :-

➪ a³ + b³ + c³ - 3abc

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

Answer :-

➠ a³ + b³ + 125c³ - 15abc

➻ (a)³ + (b)³ + (5c)³ - 3 × a × b × 5c

➻ (a + b + 5c) {(a)² + (b)² + (5c)² - a × b - b × 5c - a × 5c }

➻ (a + b + 5c) (a² + b² + 25c² - ab - 5bc - 5ac)

∴ The value of a³ + b³ + 125c³ - 15abc is (a + b + 5c) (a² + b² + 25c² - ab - 5bc - 5ac)