How do you combine (x^{3}-x-4)-(x^{2}+x-4)?

Neil Wiley

Neil Wiley

Answered question

2022-01-31

How do you combine (x3x4)(x2+x4)?

Answer & Explanation

Joe Walker

Joe Walker

Beginner2022-02-01Added 9 answers

Explanation:
First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:
x3x4x2x+4
Next, group like terms in descending order of the size of their exponents:
x3x2xx4+4
Now, combine like terms:
x3x21x1x4+4
x3x2+(11)x+(4+4)
x3x2+(2)x+0
x3x22x
Evie French

Evie French

Beginner2022-02-02Added 18 answers

Explanation:
(x3x4)(x2+x4)
Multiplying the bracket with the - sign.
=x3x4x2x+4
=x3x22x
=x(x2x2)
Identity =x2+(a+b)x+ab, where x=x, a=2 & b=-1
=x[x(x-1)+2(x-1)]
Taking the common bracket out:
=x(x+1)(x+2)

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