Question

Simplify to create an equivalent expression. \qquad{2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)

Answer 1

Answer:

  54y² +255y +300

Step-by-step explanation:

Such an expression is simplified by eliminating parentheses and combining like terms.

Eliminate parentheses

Taking the given expression at face value, we have ...

  {2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)

  = {6y +12 +12 +3y}(6y +12) +12 +3y

  = (9y +24)(6y +12) +12 +3y

  = (9y)(6y +12) +24(6y +12) +12 +3y

  = 54y² +108y +144y +288 +12 +3y

Combine like terms

  = 54y² +(108 +144 +3)y +(288 +12)

  = 54y² +255y +300