Question

what is the product of 6z - y and 2x - y + 2

Answer 1

Answer:

${y}^{2} - 2xy - 2y + 12xz - 6yz + 12z$

Step-by-step explanation:

The product of 6z - y and 2x - y + 2 is such that 'product' is represented by bracket '(...)'. Thus:

$6z - y \times 2x - y + 2$

$(6z - y)(2x - y + 2)$

In order to remove the brackets, each term, 6z and -y are taken to multiply 2x, -y and +2 respectively. Thus:

$12xz - 6yz + 12z - 2xy + {y}^{2} - 2y$

Rearranging the terms results to

${y}^{2} - 2xy - 2y + 12xz - 6yz + 12z$