Question

necesito ayuda para resolver estos problemas
a) (5x² + 6x - 4) (3x - 2)
b) (3x³ - 8x + 4) (2x² + 5x - 1)​

Answer 1

Respuesta:

a) (5x² + 6x - 4) (3x - 2)

$=5x^2\cdot \:3x+5x^2\left(-2\right)+6x\cdot \:3x+6x\left(-2\right)+\left(-4\right)\cdot \:3x+\left(-4\right)\left(-2\right)\\\\\\=5\cdot \:3x^2x-5\cdot \:2x^2+6\cdot \:3xx-6\cdot \:2x-4\cdot \:3x+4\cdot \:2\\\\\\\=15x^3+8x^2-24x+8$

b) (3x³ - 8x + 4) (2x² + 5x - 1)​

$=3x^3\cdot \:2x^2+3x^3\cdot \:5x+3x^3\left(-1\right)+\left(-8x\right)\cdot \:2x^2+\left(-8x\right)\cdot \:5x+\left(-8x\right)\left(-1\right)+4\cdot \:2x^2+4\cdot \:5x+4\left(-1\right)\\\\\\=3\cdot \:2x^3x^2+3\cdot \:5x^3x-3\cdot \:1\cdot \:x^3-8\cdot \:2x^2x-8\cdot \:5xx+8\cdot \:1\cdot \:x+4\cdot \:2x^2+4\cdot \:5x-4\cdot \:1\\\\\\=6x^5+15x^4-19x^3-32x^2+28x-4$