Question

3(y-5)² ÷ 5y = (2y-3)² - (y ÷1)² ÷ 1​

Answer 1

$3 {y}^{3} - 50 {y}^{2} + 175y - 125 = 0$

Step-by-step explanation:

$Given, \: \: \: 3(y - 5)^{2} \div 5y = (2y - 3)^{2} - (y \div 1)^{2} \div 1 \\ = > \: \: \: \frac{3(y - 5) ^{2} }{5y} = \frac{(2y - 3)^{2} }{ {y}^{2} } \\ = > \: \: \: \frac{3(y - 5) ^{2} }{5} = \frac{(2y - 3)^{2} }{ y } \\ = > \: \: \: 3y(y - 5)^{2} = 5(2y - 5)^{2} \\ = > \: \: \: 3y( {y}^{2} - 10y + 25 ) = 5( 4{y}^{2} - 20y + 25) \\ = > \: \: \: 3 {y}^{3} - 30 {y}^{2} + 75y = 20 {y}^{2} - 100y + 125 \\ = > \: \: \: 3 {y}^{3} - 50 {y}^{2} + 175y - 125 = 0$