25*cos(x)^2*sin(y)^2+25*cos(x)^2*cos(y)^2 если y=1 (упростите выражение)

Выражение, которое надо упростить:
Например, 1/(a*x-1)-1/(a*x+1)

    Решение

    Вы ввели
    [LaTeX]
          2       2            2       2   
    25*cos (x)*sin (y) + 25*cos (x)*cos (y)
    $$\sin^{2}{\left (y \right )} 25 \cos^{2}{\left (x \right )} + 25 \cos^{2}{\left (x \right )} \cos^{2}{\left (y \right )}$$
    Подстановка условия
    [LaTeX]
    (25*cos(x)^2)*sin(y)^2 + (25*cos(x)^2)*cos(y)^2 при y = 1
    (25*cos(x)^2)*sin(y)^2 + (25*cos(x)^2)*cos(y)^2
    $$\sin^{2}{\left (y \right )} 25 \cos^{2}{\left (x \right )} + 25 \cos^{2}{\left (x \right )} \cos^{2}{\left (y \right )}$$
    (25*cos(x)^2)*sin((1))^2 + (25*cos(x)^2)*cos((1))^2
    $$\sin^{2}{\left ((1) \right )} 25 \cos^{2}{\left (x \right )} + \cos^{2}{\left ((1) \right )} 25 \cos^{2}{\left (x \right )}$$
    (25*cos(x)^2)*sin(1)^2 + (25*cos(x)^2)*cos(1)^2
    $$\cos^{2}{\left (1 \right )} 25 \cos^{2}{\left (x \right )} + \sin^{2}{\left (1 \right )} 25 \cos^{2}{\left (x \right )}$$
    25*cos(1)^2*cos(x)^2 + 25*cos(x)^2*sin(1)^2
    $$25 \cos^{2}{\left (1 \right )} \cos^{2}{\left (x \right )} + 25 \sin^{2}{\left (1 \right )} \cos^{2}{\left (x \right )}$$
    Степени
    [LaTeX]
          2       2            2       2   
    25*cos (x)*cos (y) + 25*cos (x)*sin (y)
    $$25 \sin^{2}{\left (y \right )} \cos^{2}{\left (x \right )} + 25 \cos^{2}{\left (x \right )} \cos^{2}{\left (y \right )}$$
    Численный ответ
    [LaTeX]
    25.0*cos(x)^2*cos(y)^2 + 25.0*cos(x)^2*sin(y)^2
    Рациональный знаменатель
    [LaTeX]
          2       2            2       2   
    25*cos (x)*cos (y) + 25*cos (x)*sin (y)
    $$25 \sin^{2}{\left (y \right )} \cos^{2}{\left (x \right )} + 25 \cos^{2}{\left (x \right )} \cos^{2}{\left (y \right )}$$
    Объединение рациональных выражений
    [LaTeX]
          2    /   2         2   \
    25*cos (x)*\cos (y) + sin (y)/
    $$25 \left(\sin^{2}{\left (y \right )} + \cos^{2}{\left (y \right )}\right) \cos^{2}{\left (x \right )}$$
    Общее упрощение
    [LaTeX]
          2   
    25*cos (x)
    $$25 \cos^{2}{\left (x \right )}$$
    Собрать выражение
    [LaTeX]
    25   25*cos(2*x)
    -- + -----------
    2         2     
    $$\frac{25}{2} \cos{\left (2 x \right )} + \frac{25}{2}$$
    Комбинаторика
    [LaTeX]
          2    /   2         2   \
    25*cos (x)*\cos (y) + sin (y)/
    $$25 \left(\sin^{2}{\left (y \right )} + \cos^{2}{\left (y \right )}\right) \cos^{2}{\left (x \right )}$$
    Общий знаменатель
    [LaTeX]
          2       2            2       2   
    25*cos (x)*cos (y) + 25*cos (x)*sin (y)
    $$25 \sin^{2}{\left (y \right )} \cos^{2}{\left (x \right )} + 25 \cos^{2}{\left (x \right )} \cos^{2}{\left (y \right )}$$
    Тригонометрическая часть
    [LaTeX]
          2   
    25*cos (x)
    $$25 \cos^{2}{\left (x \right )}$$
    Раскрыть выражение
    [LaTeX]
          2       2            2       2   
    25*cos (x)*cos (y) + 25*cos (x)*sin (y)
    $$25 \sin^{2}{\left (y \right )} \cos^{2}{\left (x \right )} + 25 \cos^{2}{\left (x \right )} \cos^{2}{\left (y \right )}$$