Find the product below in standard polynomial form. (show work) (x+3(x-3)(x+7)

4x^2 + 19x - 63

Step-by-step explanation:

3(x-3) = 3x - 9

x + 3x - 9 (x + 7)

(4x -9)(x + 7) = 4x(x) + 4x(7) - 9x - 9(7)

4x^2 + 19x - 63

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation:

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.