Question

(3y+2)(y–1) simplify??

Answer 1

3y^2-y-2

Explanation:

(3y+2)(y–1)

Use the FOIL method

First 3y * y = 3y^2

outer 3y * -1 = -3y

inner 2 * y = 2y

last 2 * -1 = -2

Add them together

3y^2 -3y +2y -2

Combine like term

3y^2-y-2

Answer 2

• 
  `\boxed{\sf{3y^2-y-2}}`

Explanation:

Given:

Isolate the term of y from one side of the equation.

(3y+2)(y-1)

Use the foil method.

`\underline{\text{FOIL METHOD:}}`

`\Longrightarrow: \sf{\left(A+B\right)\left(C+D\right)=AC+AD+BC+BD}`

(3y+2)(y-1)=3yy+3y(-1)+2y+2(-1)

Solve.

`\sf{3yy=3y^2}\\\\\\\sf{3y(-1)=-3y}\\\\\\\sf{2(-1)=-2}`

`\sf{3y^2-3y+2y-2}`

Add or subtract the numbers from left to right.

Solutions:

`\sf{-3y+2y=-y}`

`\Longrightarrow: \boxed{\sf{3y^2-y-2}}`

• Therefore, the correct answer is 3y²-y-2.

I hope this helps. Let me know if you have any questions.