Determine the factors of ax + ab + 2by + 2xy.

(x+b) (a+2y)

Step-by-step explanation:

ax+ab+2by+2xy

split the equatuion in half

1.  ax+ab                    2.     2by+2xy

        gcf=a                          gcf=2y

        ax/a=x                        2by/2y= b  

        ab/a=b                        2xy/2y= x

a(x+b)                                 2y(x+b)

          Answer :(x+b)(a+2y)

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: