Question

Factorise the equation: 2x² 5/3 xy - 2y²

Answer 1

2(x + y)(x - 2y)

Explanation:

First, we can factor out a 2 from all of the terms:

2x² + 5/3 xy - 2y² = 2(x² + 5/3 xy - y²)

Next, we can rewrite the expression as a quadratic in x:

2(x² + 5/3 xy - y²) = 2(x + y)(x - 2y)

Therefore, the factored equation is:

2(x + y)(x - 2y)