Find the value of w if the expression wx (3y² + 6y - 2) simplifies to the expression 6xy² + 12xy - 4x.

w = 2

Step-by-step explanation:

Distribute the expression and compare like terms with the simplified version.

Given

wx (3y² + 6y - 2) ← distribute parenthesis

= 3wxy² + 6wxy - 2wx

Compare coefficients of like terms with

6xy² + 12xy - 4x

Compare xy² term, then

3w = 6 (divide both sides by 3)

w = 2

Compare xy term, then

6w = 12 (divide both sides by 6)

w = 2

Compare x term, then

- 2w = - 4 (divide both sides by - 2)

w = 2

Hence the required value of w is 2