Question

simplify-(x-5)(x-3)(x^2-9x+14/(x^2_12x+35)(x-3)

Answer 1

-(x-5)*(x-3)*(X^2-9x+14)*(x^2-12x+35)* (x-3)

-(x-5)*(x-3)^2*(x^2-9x+14)*(x^2-12x+35)

Multiply the parentheses

-(x^3-9x^2+14x-5x^2+45x-70)*(x-3)^2 *(x^2-12x+35)

Collect the like terms

-(x^3-14x^2+59X-70) *(X-3)^2*(X^2-12X+35)

Remove parentheses Expand

-(x^5-12x^4+35x^3-14x^4+168x^3-490x^2-59x^3-708x^2-2065x-70x^2+840x-2450) * (x^2-6x+9)

-(x^5-26x^4+262x^3-1268x^2+2905x-2450)*(x^2-6x+9)

Multiply the parentheses

Answer: -x^7+32x^6-427X^5 +3074x^4-12871x^3+31292x^2-40845x+22050