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Zina [86]
3 years ago
14

Simplify the expression (x^2 + 2x + 3)(x^2 – 2x – 2)

Mathematics
2 answers:
boyakko [2]3 years ago
8 0

Answer:

x^4-3x^2-10x-6

Step-by-step explanation:

To simplify this expression we must apply the distributive property

Distributive Property

(a+b)(c+d)= ac+ad+bc+bd

Going over some rules

Law of the signs

(-)(-)=+\\(-)(+)=-\\(+)(+)=+

Powers

Ax^b.Cx^d=ACx^{(b+d)}

Simplifying

(x^2+2x+3)(x^2-2x-2)=x^4-2x^3-2x^2+2x^3-4x^2-4x+3x^2-6x-6

We add similar terms (those that have the same power)

x^4-2x^3-2x^2+2x^3-4x^2-4x+3x^2-6x-6\\x^4-3x^2-10x-6

Leto [7]3 years ago
5 0
Simplified: x^4+3x^2-10x-6 
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