Question 886110
{{{ 6x^2 + 5x*y - y^2 }}}
I can say it must be of the form:
{{{ ( a*x + y )*( c*x - y ) }}}
Now I can expand this
{{{ a*c*x^2 + c*x*y - a*x*y - y^2 }}}
{{{ a*c*x^2 + ( c-a )*x*y - y^2 }}} 
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Comparing this to the problem, I can say:
(1) {{{ a*c = 6 }}}
(2) {{{ c - a = 5 }}}
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(1) {{{ c = 6/a }}}
and
(2) {{{ 6/a - a = 5 }}}
(2) {{{ 6 - a^2 = 5a }}}
(2) {{{ a^2 + 5a - 6 = 0 }}}
By inspection, I see:
(2) {{{ ( a + 6 )*( a - 1 ) = 0 }}}
(2) {{{ a = -6 }}} ( You can use this value to find a different  {{{ c }}} )
(2) {{{ a = 1 }}}
and
(2) {{{ c - a = 5 }}}
(2) {{{ c - 1 = 5 }}}
(2) {{{ c = 6 }}}
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The factors are:
{{{ ( a*x + y )*( c*x - y ) }}}
{{{ ( x + y )*( 6x - y ) }}}
Hope this helps