What is the lcd? 7/x^2 +4x +4, 5/4 -x^2

x^3 +2x^2 -4x -8

Step-by-step explanation:

The factors of x^2 +4x +4 are (x +2)^2.

The factors of 4 -x^2 are -1(x -2)(x +2).

The least common denominator is the least common multiple of these, excluding the -1 multiplier. That multiple is ...

... (x +2)^2 × (x -2) = x^3 +2x^2 -4x -8

Comment on the minus sign

When the given fractions are expressed using the denominator above, the second one will need to have its numerator sign adjusted. The two fractions are ...

14

step-by-step explanation:

14 x 3 = 42

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: