Question

Please tell me what are the restrictions to this multiplication of ration expressions.

Answer 1

\[\frac{ z^2 }{ z+1 } * \frac{ z^2 + 3z + 2 }{ z^2 + 3z }\]

Answer 2

@satellite73 Is 0 one o the restrictions for z?

Answer 3

I know that z cannot equal to -1 and -3. Can z equal to 0 or not?

Answer 4

@jim_thompson5910

Answer 5

I know the result is this
\[\frac{ z^2 + 2z }{ z + 3 }\]

Answer 6

factor z^2 + 3z to get z(z+3)

you'll find that z = 0 or z = -3 makes z^2 + 3z = z(z+3) equal to zero

so yes, z = 0 is one of the restrictions

Answer 7

So because if z = 0, the whole expression equaling to 0, makes 0 a restriction, right?

Answer 8

How do I factor
\[x^2 + 4x - 5\]

Answer 9

find two numbers that multiply to -5 and add to 4

Answer 10

list all the ways to multiply to get -5

-1*5
1*(-5)

then see which pair of factors add to +4

Answer 11

\[x(x+4) - 5\]

Answer 12

which pair of factors listed above add to 4?

Answer 13

1 and -5

Answer 14

1 plus -5 = -4

Answer 15

\[(x + 1)(x -5)\]

Answer 16

yeah i meant that

Answer 17

but we want the two numbers to add to +4