(p)*(x^2+x-3) = (px^2+px-3p)(p)⋅(x2+x−3)=(px2+px−3p)
Replacing (p)(p) with (2x^2-5x-1)(2x2−5x−1)
(2x^2-5x-1)(x^2+x-3)(2x2−5x−1)(x2+x−3)
color(white)("XXXX")XXXX=(2x^2-5x-1)x^2 +(2x^2-5x-1)x - 3(2x^2-5x-1)=(2x2−5x−1)x2+(2x2−5x−1)x−3(2x2−5x−1)
color(white)("XXXX")XXXX=(2x^4-10x^3-x^2)+(2x^3-5x^2-x)-(6x^2-15x-3)=(2x4−10x3−x2)+(2x3−5x2−x)−(6x2−15x−3)
color(white)("XXXX")XXXX=(2x^4) + (-10x^3+2x^3) + (-x^2-5x^2-6x^2) + (-x+15x) + (3)=(2x4)+(−10x3+2x3)+(−x2−5x2−6x2)+(−x+15x)+(3)
color(white)("XXXX")XXXX=2x^4-8x^3-12x^2+14x+3=2x4−8x3−12x2+14x+3