To expand the expression \((5-a)(5+a)(25+a)\) and then square it, we can follow these steps:
Expand the expression \((5-a)(5+a)(25+a)\): \[(5-a)(5+a)(25+a) = (25 - a^2)(25 + a) = 625 + 25a - 25a - a^2\] \[(25 - a^2)(25 + a) = 625 - a^2\]
Square the expression \(625 - a^2\): \[(625 - a^2)^2 = 625^2 - 2(625)(a^2) + a^4 = 390625 - 1250a^2 + a^4\]
Therefore, \((5-a)(5+a)(25+a)\) squared is equal to \(390625 - 1250a^2 + a^4\).
