\(a,=x^2-2x-3x+6=\left(x-2\right)\left(x-3\right)\\ b,=3\left(x^2+3x-10\right)=3\left(x^2-2x+5x-10\right)=3\left(x-2\right)\left(x+5\right)\\ c,=x^2-3x-6x+18=\left(x-3\right)\left(x-6\right)\\ d,=x^2-2x-4x+8=\left(x-2\right)\left(x-4\right)\)
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a. x2 - 5x + 6
= x2 - x - 6x + 6
= x(x - 1) - 6(x - 1)
= (x - 6)(x - 1)
b. 3x2 + 9x - 30
= 3x2 - 6x + 15x - 30
= 3x(x - 2) + 15(x - 2)
= (3x + 15)(x - 2)
= 3(x + 5)(x - 2)
c. x2 - 9x + 18
= x2 - 6x - 3x + 18
= x(x - 6) - 3(x - 6)
= (x - 3)(x - 6)
d. x2 - 6x + 8
= x2 - 4x - 2x + 8
= x(x - 4) - 2(x - 4)
= (x - 2)(x - 4)
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