Question

Resolve into factors: 1) 5a + 6bc + 15b + 2ca

Answer 1

5a + 6bc + 15b + 2c


= > 5a + 15b + 2ac + 6bc


= > 5( a + 3b ) + 2c( a + 3b )


= > ( a + 3b ) ( 5 + 2c )







Hence,
5a + 6bc + 15b + 2ca = ( a + 3b ) ( 5 + 2c )




In Simple meaning we can say that ( a + 3b ) and ( 5 + 2c ) are the factors of 5a + 6bc + 15b + 2ca
$.$

Answer 2

Factorise 5a + 6bc + 15b + 2ca

       = 5a + 15b + 6bc + 2ac

       = 5(a + 3b) + 2c(3b + a)

       = 5(a + 3b) + 2c(a + 3b)

       ⇒ (5 + 2c) (a + 3b)

HOPE IT HELPS...