Find the product.

3y 2 z(2y 2 z + 4yz - y + z)

a 4y 6z 2 + 13y 3z 12 - 3y 2z 2 - 3yz

b 6y 4z 2 + 12y 3z 2 - 3y 3z + 3y 2z 2

c 6y 2z 4 - 12y 2z 3 + 3yz 3 - 3y 2z 2

d 3y 4z 2 + 3y 3z 2 - 6y 3z - 4

Answer :



Step-by-step explanation :

To find the product of



First we expand the bracket ,

it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.

Hence





we now apply the law of indices



meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.

Then, simplify to obtain