Question

The value of x² – 16 ÷ x + 4 is __________________.

Answer 1

Answer:

The value of x² – 16 ÷ x + 4 is x-4.

Step-by-step explanation:

Some data is missing in the question( bracket is missing )so probably the question is like this (x² – 16) ÷( x + 4) so as per this question, this is your answer.

We have been asked to find the value of  (x² – 16) ÷ (x + 4) in the question.

We will first factorise x² – 16 by using the identity: a²-b² =(a+b) (a-b)

x² - (4)² =(x+4) (x-4)

Now,

(x² – 16) /(x + 4) = (x+4) (x-4)/x + 4

We will cancel out x+4 .

The value of x² – 16 ÷ x + 4 is x-4.

Answer 2

Answer :- x - 4

Explanation :- (a + b) (a - b) = a^2 - b^2

Therefore, x^2 - 16 = x^2 - 4^2

= (x + 4) (x - 4)

i.e., x^2 - 16 ÷ x + 4 = (x + 4) (x - 4) ÷ (x + 4)

= (x - 4)