How do you simplify (x + 3)(x - 4)(x - 5)(x+3)(x−4)(x−5)?

1 Answer
Jim G.
Apr 3, 2017

x^3-6x^2-7x+60x3−6x2−7x+60

Explanation:

To expand a product of factors in the form.

(x+a)(x+b)(x+c)(x+a)(x+b)(x+c)

=x^3+(a+b+c)x^2+(ab+bc+ac)x+abc=x3+(a+b+c)x2+(ab+bc+ac)x+abc

"here " a=3,b=-4" and " c=-5here a=3,b=−4 and c=−5

rArr(x+3)(x-4)(x-5)⇒(x+3)(x−4)(x−5)

=x^3+(3-4-5)x^2+(-12+20-15)x+60=x3+(3−4−5)x2+(−12+20−15)x+60

=x^3-6x^2-7x+60=x3−6x2−7x+60

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