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(3x+5)(2x²+9x-5) = (3x×2x²)+(3x×9x)-(3x×5)+(5×2x²)+(5×9x)-(5×5) =
= 6x³+27x²-15x+10x²+45x-25 = 6x³+37x²+30x-25
Ahora pongo el resultado de cada multiplicación directamente:
(7x-4)(x³-x²+6) = 7x⁴-7x³+42x-4x³+4x²-24 = 7x⁴-11x³+4x²+42x-24
2x² +9x -5
3x +5
------------------------------
10x² +45x -25
6x³+27x² -15x
-----------------------------
6x³ +37x²+30x -25
(7x -4 ) (x³ -x² +6)
x³ -x² +6
7x - 4
---------------------------------
-4x³ +4x³ -24
7x⁴ -7x³ +42x
-------------------------------------
7x⁴ -11x³ +4x² +42x -24