Awindow frame has a length of (5x + 3) inches and a width of (x + 6) inches. the area of the glass in the window is (4x2 + 26x + 15) square inches.

what is the area of the trim around the glass in the window?

The trim area is x² + 7x + 3.

Step-by-step explanation:

First determine the area of the window frame.  Then subtract the given glass area.  The remainder is the area of the trim.

Area of window frame:  (5x + 3)(x + 6) = 5x² + 33x + 18

Area of glass;                                            4x² + 26x + 15

Subtracting the glass area from the frame area, we get:

                                                                     x² + 7x + 3

The trim area is x² + 7x + 3.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this