Question

find the area of a triangle whose base is (x+y)^2 and height is (x-y)^2 ​

Answer 1

Answer:

$\frac{1}{2} \times {(x + y)}^{2} \times (x - y) {}^{2} \\ = \frac{1}{2} (x {}^{2} - y {}^{2} ) {}^{2} \\ = \frac{1}{2}( {x}^{4} + {y}^{4} - 2 {x}^{2} {y}^{2} )$