Answer:
The answer the factores over complex number of the expression [tex](4x^{2} +25y^{2})[/tex]
a). (2x+5iy)*(2x-5iy)
Step-by-step explanation:
[tex](2x+5iy)(2x-5iy)\\(2x*2x)+(2x*+5yi)+(-5yi*2x)+(5iy*5iy)[/tex]
Remember
[tex]i=\sqrt{-1}\\i^{2}=-1[/tex]
Check:
[tex](4x^{2} -10xyi +10xyi -25 i^{2} *y^{2} )\\(4x^{2} -25* i^{2} *y^{2} )\\(4x^{2} -25 *(-1) *y^{2} )\\(4x^{2} + 25 y^{2} )[/tex]
