Can someone please explain to me HOW to transform this equation to determine if its an identity (8x+12y)^2+(6x+9y)=(10x+15y)^2

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given
(8x+12y)² + (6x+9y)² = (10x +15y)²
Note
(8x+12y)² = (4(2x +3y))²= 16(2x +3y)²
(6x +9y)² = (3(2x + 3y))² = 9(2x +3y)²
(10x+15y)² = (5(2x+3y)² = 25(2x +3y)²
Since
16(2x +3y)²+9(2x+3y)² = 25(2x +3y)²


Hence,  this is an identity.