Question

(3y+2)(y–1) simplify??

Answer 1

Answer:

• $\boxed{\sf{3y^2-y-2}}$

Step-by-step 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.

Answer 2

Answer:

3y^2-y-2

Step-by-step 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