Factor completely, then place the answer in the proper location on the grid. 9x 4 -225y^8

Answer:see explanationStep-by-step explanation:Given9[tex]x^{4}[/tex] - 225[tex]y^{8}[/tex] ← factor out 9 from each term= 9( [tex]x^{4}[/tex] - 25[tex]y^{8}[/tex] ) ← difference of squaresDifference of squares factors in general asa² - b² = (a - b)(a + b)[tex]x^{4}[/tex] = (x² )² ⇒ a = x²25[tex]y^{8}[/tex] = (5[tex]y^{4}[/tex] )² ⇒ b = 5[tex]y^{4}[/tex]Hence[tex]x^{4}[/tex] - 25[tex]y^{8}[/tex]= ( [tex]x^{4}[/tex] -5[tex]y^{4}[/tex] )( [tex]x^{4}[/tex] + 5[tex]y^{4}[/tex] )Thus9[tex]x^{4}[/tex] - 225[tex]y^{8}[/tex]= 9 ([tex]x^{4}[/tex] - 5[tex]y^{4}[/tex] )( [tex]x^{4}[/tex] + 5[tex]y^{4}[/tex] )