(10x – 7y + 5z) by 6xyz
(10x – 7y + 5z) × 6xyz
= 6xyz (10x – 7y + 5z) [∵ Multiplication is commutative]
= 6xy (10x) + 6xyz (-7y) + 6xyz (5z)
= (6 × 10)(x × x × y × z) + (6 × -7) + (x × y × y × z) + (6 × 5)(x × y × z × z)
= 60x2yz + (-42xy2z) + 30xyz2
= 60x2yz – 42x2z + 30xyz2