Question

factorise: 6( a + 4b)³ + 15(a + 4b)​

Answer 1

Answer:

6 (a + 4b)³ + 15 (a +4b)

= 3 (a+ 4b) {2 (a+4b)² + 5}

= (3a + 12b) { 2 (a² + 8ab + 16b²) +5}

= (3a +12b ) (2a²+ 16 ab + 32b² + 5)

= (6a³+48a²b+96ab²+5a) +(24a²b+192ab²+384b³+60b)

= 6a³ + 385b³ +72a²b + 288ab² + 5a + 60b