Question

Factorise:
10a (2p + q)^3- 15b (2p + q)^2 + 35(2p + q)
​

Answer 1

Hi there!

10a(2p+q)³ - 15b(2b+q)² + 35(2p+q)

5(2p+q)[2a(2p+q)²+7] - 15b(2b+q)²

5(2p+q)[2a(4p²+4pq+q2²)+7] - 15b(4b²+4bq+q² )

5(2p+q)(8ap²+8apq+2aq²+7) - 15b(4b²+4bq+q² )

5(2p+q)(8ap²+8apq+2aq²+7) - 15b(4b²+4bq+q² )

80ap³+80ap²q+20aq²p+70p+40aqp²+40apq²+10aq³+35q-60b³+60b²q-15bq²

Cheers!