Question

factorise
$2x^2+\frac{5}{3} xy-2y^2$
please give a correct answer with explanation...​

Answer 1

Answer:

Step-by-step explanation:

$2x^{2}+\dfrac{5}{3}xy - 2y^{2}\\\\Multiply \ by \ 3,\\\\3*2x^{2}+3*\dfrac{5}{3}xy -3* 2y^{2}$

= 6x² + 5xy - 6y²

= 6x² + 9xy - 4xy - 6y²

=3x(2x + 3y) - 2y(2x + 3y)

= (2x +3y)(3x - 2y)