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

Question

asked Apr 28, 2017 144k views

2 Answers

BhushanK · Answer 1 · 2017-05-02T01:43:11+0000

Answer:

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

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)

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