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(3y+2)(y–1) simplify??

User Pabdulin
by
8.4k points

2 Answers

2 votes

Answer:

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

User Kimooz
by
8.4k points
6 votes

Answer:


  • \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.

User Jonaszmclaren
by
7.2k points

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