Решите задание 2.53, пункт 2.

\(64x^2(5y + x)^2 - (25y^2 + 8x^2)^2\): \((5y + x)^2 = 25y^2 + 10xy + x^2\), \(64x^2 \cdot (25y^2 + 10xy + x^2) = 1600x^2y^2 + 640x^3y + 64x^4\), \((25y^2 + 8x^2)^2 = 625y^4 + 400y^2x^2 + 64x^4\). Итог: \(1600x^2y^2 + 640x^3y + 64x^4 - 625y^4 - 400y^2x^2 - 64x^4 = -625y^4 + 1200x^2y^2 + 640x^3y\).