Question

How do you simplify `(2x^2 - 5x - 1)(x^2 + x - 3)`?

Answer 1

`(2x^2-5x+1)xx(x^2+x-3) = 2x^4-3x^3-12x^2+14x+3`

Explanation:

#{: ( xx," |",2x^2, -5x, -1), ("-----", ,"-----","-----","-----"), (x^2," |",color(orange)(2x^4),color(blue)(-5x^3),color(red)(-x^2)), (+x," |",color(blue)(2x^3),color(red)(-5x^2),color(green)(-x)), (-3," |",color(red)(-6x^2),color(green)(+15x),color(cyan)(+3)), ("-----","-----","-----","-----","-----"), (color(orange)(2x^4),color(blue)(-3x^3),color(red)(-12x^2),color(green)(+14x),color(cyan)(+3)) :}#