To solve this, we will expand both sides of the equation:
Left side(10m-4)(10m+4= 100m^2 + 40m - 40m - 1= 100m^2 - 16
Right side(b-5)(b+5)(b^2+25= (b^2 - 25)(b^2+25= b^4 + 25b^2 - 25b^2 - 62= 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 - 1
= 100m^2 - 16
Right side
(b-5)(b+5)(b^2+25
= (b^2 - 25)(b^2+25
= b^4 + 25b^2 - 25b^2 - 62
= 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.