To solve this, we will expand both sides of the equation:
Left side:(10m-4)(10m+4)= 100m^2 + 40m - 40m - 16= 100m^2 - 16
Right side:(b-5)(b+5)(b^2+25)= (b^2 - 25)(b^2+25)= b^4 + 25b^2 - 25b^2 - 625= b^4 - 625
Therefore, the equation (10m-4)(10m+4) = (b-5)(b+5)(b^2+25) simplifies to 100m^2 - 16 = b^4 - 625.
To solve this, we will expand both sides of the equation:
Left side:
(10m-4)(10m+4)
= 100m^2 + 40m - 40m - 16
= 100m^2 - 16
Right side:
(b-5)(b+5)(b^2+25)
= (b^2 - 25)(b^2+25)
= b^4 + 25b^2 - 25b^2 - 625
= b^4 - 625
Therefore, the equation (10m-4)(10m+4) = (b-5)(b+5)(b^2+25) simplifies to 100m^2 - 16 = b^4 - 625.