Question

10x – 15y - 4x^2 – 9y^2 + 12xy
factorise​

Answer 1

$\huge \mathscr{\orange {\underline{\pink{\underline {Answer:-}}}}}$

10x − 15y − 4x² − 9y² + 12xy

Consider ,

10x − 15y − 4x² + 12xy − 9y² as a polynomial over variable x.

−4x²+(10+12y)x−15y−9y²

Find one factor of the form kxm+n, where kxm divides the monomial with the highest power −4x2 and n divides the constant factor −9y2−15y. One such factor is −2x+3y. Factor the polynomial by dividing it by this factor.

= ( -2x + 3y )( 2x - 3y - 5 )