How do you multiply (2x^2-5x-1)(x^2+x-3)(2x25x1)(x2+x3)?

1 Answer
Aug 5, 2015

(2x^2-5x-1)(x^2+x-3)=2x^4-8x^3-12x^2+14x+3(2x25x1)(x2+x3)=2x48x312x2+14x+3

Explanation:

(p)*(x^2+x-3) = (px^2+px-3p)(p)(x2+x3)=(px2+px3p)

Replacing (p)(p) with (2x^2-5x-1)(2x25x1)

(2x^2-5x-1)(x^2+x-3)(2x25x1)(x2+x3)
color(white)("XXXX")XXXX=(2x^2-5x-1)x^2 +(2x^2-5x-1)x - 3(2x^2-5x-1)=(2x25x1)x2+(2x25x1)x3(2x25x1)

color(white)("XXXX")XXXX=(2x^4-10x^3-x^2)+(2x^3-5x^2-x)-(6x^2-15x-3)=(2x410x3x2)+(2x35x2x)(6x215x3)

color(white)("XXXX")XXXX=(2x^4) + (-10x^3+2x^3) + (-x^2-5x^2-6x^2) + (-x+15x) + (3)=(2x4)+(10x3+2x3)+(x25x26x2)+(x+15x)+(3)

color(white)("XXXX")XXXX=2x^4-8x^3-12x^2+14x+3=2x48x312x2+14x+3