Question

Помогите пожалуйста.

Answer 1

$12 {x}^{4} {y}^{4} - 75 {x}^{2} {y}^{2} + 4 {x}^{3} {y}^{5} - 25x {y}^{3} = (12 {x}^{4} {y}^{4} + 4 {x}^{3} {y}^{5}) - (75 {x}^{2} {y}^{2} + 25x {y}^{3} ) = 4 {x}^{3} {y}^{4} (3x + y) - 25x {y}^{2} (3x + y) = (3x + y)(4 {x}^{3} {y}^{4} - 25x {y}^{2} ) = (3x + y) times x {y}^{2} (4 {x}^{2} {y}^{2} - 25) = x {y}^{2} (3x + y)(2xy - 5)(2xy + 5)$

Answer 2

12x⁴y⁴-75x²y²+4x³y^5-25xy³=
=4x³y⁴(3x+y)-25xy²(3x+y)=
=(3x+y)(4x³y⁴-25xy²)=
=(3x+y)xy²(4x²y²-25)=
=xy²(3x+y)(2xy-5)(2xy+5)