Question

разложите на множители
5а²-30а+45
7n³+7m³
y^8-x⁴

Answer 1

5а^2 - 30а + 45 = 5( а^2 - 6а + 9 ) = 5( а - 3 )^2
7n^3 + 7m^3 = 7( n^3 + m^3 ) = 7( n + m )( n^2 - nm + m^2 )
y^8 - x^4 = ( y^4 )^2 - ( x^2 )^2 = ( y^4 - x^2 )( y^4 + x^2 ) = ( y^2 - x )( y^2 + x )( y^4 + x^2 )