How do you simplify (x + 9)(x - 2)(x - 7)(x+9)(x−2)(x−7)?
1 Answer
Jun 12, 2017
Explanation:
"factors of the form"factors of the form
(x+a)(x+b)(x+c)" may be expanded as"(x+a)(x+b)(x+c) may be expanded as
x^3+(a+b+c)x^2+(ab+bc+ac)x+abcx3+(a+b+c)x2+(ab+bc+ac)x+abc
"here " a=9,b=-2" and " c=-7here a=9,b=−2 and c=−7
rArr(x+9)(x-2)(x-7)⇒(x+9)(x−2)(x−7)
=x^3+(9-2-7)x^2+(-18+14-63)x+(9xx-2xx-7)=x3+(9−2−7)x2+(−18+14−63)x+(9×−2×−7)
=x^3-67x+126=x3−67x+126
