Simplify and expand (X+3)(x-3)(3x+3)

3x^3 + 3x^2 - 27x - 27

Step-by-step explanation:

Work Shown:

(x+3)(x-3)(3x+3)

(x^2-9)(3x+3) difference of squares rule

y(3x+3) let y = x^2-9

y*3x + y*3 distribute

3x( y ) + 3( y )

3x( x^2 - 9 ) + 3(x^2 - 9) plug in y = x^2-9

3x*x^2 + 3x*(-9) + 3*x^2 + 3*(-9) distribute

3x^3 - 27x + 3x^2 - 27

3x^3 + 3x^2 - 27x - 27

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4