Answer:
[tex]5x^7(16x^2+9)(16x^2-9)[/tex]
Step-by-step explanation:
we have
[tex]1,280x^{11}-405x^{7}[/tex]
we know that
[tex]1,280=(2^8)(5)[/tex]
[tex]405=(3^4)(5)[/tex]
substitute
[tex](2^8)(5)x^{11}-(3^4)(5)x^{7}[/tex]
Factor 5x^7
[tex]5x^7[(2^8)x^{4}-(3^4)][/tex]
[tex]5x^7[256x^{4}-81][/tex]
Applying difference of square
[tex][256x^{4}-81]=(16x^2+9)(16x^2-9)[/tex]
substitute
[tex]5x^7(16x^2+9)(16x^2-9)[/tex]
