Mathematics: What is the simplified form of y^2+7y+12/y^2-2y-15? Choices:

What is the simplified form of y^2+7y+12/y^2-2y-15?

Ответ:

Arealbot

30.01.2022

Mathematics

$\frac{y + 4}{y - 5}$

Option C is the correct option

Step-by-step explanation:

$\frac{ {y}^{2} + 7y + 12}{ {y}^{2} - 2y - 15 }$

Write 7y as a sum

$\frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} - 2y - 15}$

Write -2y as a difference

$\frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} + 3y - 5y - 15}$

Factor out y from the expression

$\frac{y(y + 4) + 3y + 12}{ {y}^{2} + 3y - 5y - 15 }$

Factor out 3 from the expression

$\frac{y(y + 4) + 3(y + 4)}{ {y}^{2} + 3y - 5y - 15 }$

factor out y from the expression

$\frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5y - 15}$

Factor out -5 from the expression

$\frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5( y + 3)}$

factor out y + 4 from the expression

$\frac{(y + 4)(y + 3)}{y(y + 3) - 5(y + 3)}$

Factor out y + 3 from the expression

$\frac{(y + 4)(y + 3)}{(y + 3)(y - 5)}$

Reduce the fraction with y + 3

$\frac{y + 4}{y - 5}$

Hope this helps..

Best regards!!

0,0(0 оценок)

Ответ:

hkcapricorn7705

04.09.2020

Mathematics

Tuesday is 3 less, Wednesday is 4 less, and Thursday is 5 less. For some reason, I can't find the words to describe that pattern but I know that the number of students will probably be 35 on Friday which is a decrease of 6 from Thursday. The pattern can't go on forever because if it keeps decreasing it'll eventually reach negatives and there can't be an attendance of a negative amount of students. Hope that helped, sorry I wasn't very well at explaining the first question but I hope I clarified it a bit. :)

0,0(0 оценок)

What is the simplified form of y^2+7y+12/y^2-2y-15? Choices:

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question