Answer:
(x+1)(x−2)(x+3)(x−4)
Apply the distributive property by multiplying each term of x+1 by each term of x−2.
(x
2
−2x+x−2)(x+3)(x−4)
Combine −2x and x to get −x.
(x
2
−x−2)(x+3)(x−4)
Apply the distributive property by multiplying each term of x
2
−x−2 by each term of x+3.
(x
3
+3x
2
−x
2
−3x−2x−6)(x−4)
Combine 3x
2
and −x
2
to get 2x
2
.
(x
3
+2x
2
−3x−2x−6)(x−4)
Combine −3x and −2x to get −5x.
(x
3
+2x
2
−5x−6)(x−4)
Apply the distributive property by multiplying each term of x
3
+2x
2
−5x−6 by each term of x−4.
x
4
−4x
3
+2x
3
−8x
2
−5x
2
+20x−6x+24
Combine −4x
3
and 2x
3
to get −2x
3
.
x
4
−2x
3
−8x
2
−5x
2
+20x−6x+24
Combine −8x
2
and −5x
2
to get −13x
2
.
x
4
−2x
3
−13x
2
+20x−6x+24
Combine 20x and −6x to get 14x.
x
4
−2x
3
−13x
2
+14x+24
Step-by-step explanation:
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