Answer with Step-by-step explanation:
A window frame has a length of (5x + 3) inches and a width of (x + 6) inches.
Area of window frame=(5x+3)(x+6)
= 5x(x+6)+3(x+6)
= 5x²+30x+3x+18
= (5x²+33x+18) square inches
area of the glass in the window is (4x² + 26x + 15) square inches.
Area of trim around the glass=Area of window frame-Area of glass
= 5x²+33x+18-(4x²+26x+15)
=5x²-4x²+33x-26x+18-15
=(x²+7x+3) square inches
Hence, Correct option is:
A. (x² + 7x + 3) square inches