Разложите на множители A^5-4a^3-8a^2+32

A ^ 5 - 4 * a ^ 3 - 8 * a ^ 2 + 32 = ( A ^ 5 - 4 * a ^ 3 ) - ( 8 * a ^ 2 - 32 ) = ( A ^ ( 3 + 2 ) - 4 * a ^ 3 ) - ( 8 * a ^ 2 - 8 * 4 ) = ( A ^ 3 * a ^ 2 - 4 * a ^ 3 ) - ( 8 * a ^ 2 - 8 * 4 ) = a ^ 3 * ( 1* a ^ 2 - 4 * 1 ) - ( 8 * a ^ 2 - 8 * 4 ) = a ^ 3 * ( a ^ 2 - 4 ) - 8 * ( 1 * a ^ 2 - 1 * 4 ) = a ^ 3 * ( a ^ 2 - 4 ) - 8 * ( a ^ 2 - 4 ) = ( a ^ 2 - 4 ) * ( a ^ 3 - 8 ) = ( a ^ 2 - 2 ^ 2 ) * ( a ^ 3 - 2 ^ 3 ) = ( a - 2 ) * ( a + 2 ) * ( a ^ 3 - 2 ^ 3 ) = ( a - 2 ) * ( a + 2 ) * ( a - 2 ) * ( a ^ 2 + 2 * a + 4 ).