Question
Simply the
2y^2+6y+4/4y^2-12y-16
2y^2+6y+4/4y^2-12y-16
Answers
GPT 3.5
To simplify the expression (2y^2 + 6y + 4)/(4y^2 - 12y - 16), we can first factor out a 2 from the numerator and a 4 from the denominator:
2(y^2 + 3y + 2)/(4(y^2 - 3y - 4))
Next, we can factor the quadratic expressions in the numerator and denominator:
2(y + 2)(y + 1)/(4(y - 4)(y + 1))
We can cancel out the (y + 1) term in the numerator and denominator:
2(y + 2)/(4(y - 4))
Simplifying further, we can divide both the numerator and the denominator by 2:
(y + 2)/(2(y - 4))
Therefore, the simplified expression is (y + 2)/(2(y - 4)).
2(y^2 + 3y + 2)/(4(y^2 - 3y - 4))
Next, we can factor the quadratic expressions in the numerator and denominator:
2(y + 2)(y + 1)/(4(y - 4)(y + 1))
We can cancel out the (y + 1) term in the numerator and denominator:
2(y + 2)/(4(y - 4))
Simplifying further, we can divide both the numerator and the denominator by 2:
(y + 2)/(2(y - 4))
Therefore, the simplified expression is (y + 2)/(2(y - 4)).