If (x2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below? (x + 2) ´ ______ = x2 – 4 x2 – 4 x – 2 x + 2 x2 – 2

Question

asked Apr 1, 2020 184k views

2 Answers

James Simpson · Answer 1 · 2020-04-07T08:46:07+0000

Answer:

x - 2

Explanation:

Given expression,

(x^2-4)/ (x+2)=x-2

(x^2-4)/(x+2)=x-2

Multplying both sides by x + 2 ( Division property of equality )

(x^2-4)/(x+2)* (x+2)=(x-2)* (x+2)

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

$\implies x^2-4=(x+2)(x-2)$ ( By commutative property )

Thus, SECOND OPTION is correct.