Question

factorise 6 x ^ { 2 } - 5 x ^ { 2 } - 13 x + 12​

Answer 1

Solution :-

${6x}^{2} - {5x}^{2} - 13x + 12 \\ {x}^{2} - 13x + 12 \: \: \: \: \: \: \: \: \: \: \: \: \: (using \: \: middle \: term \: split) \\ {x}^{2} - x - 12x + 12 \\ x(x - 1) - 12(x - 1) \\ (x - 1)(x - 12)$

Answer 2

Combine like terms

=62−52−13+12

=12−13+12

Multiply by 1

=2−13+12