Question

Identify the factors of x2 + 16y2.

A. (x + 4y)(x + 4y)
B. (x + 4y)(x − 4y)
C. Prime
D. (x − 4y)(x − 4y)

Answer 1

C

Explanation:

Took FLVS test

Answer 2

The correct option is C.

Explanation:

The given expression is

`x^2+16y^2`

In option A,

`(x+4y)(x+4y)=x^2+4xy+4xy+16y^2=x^2+8xy+16y^2`

Therefore option A is incorrect.

In option B,

`(x+4y)(x-4y)=x^2-4xy+4xy-16y^2=x^2-16y^2`

Therefore option B is incorrect.

In option D,

`(x-4y)(x-4y)=x^2-4xy-4xy-16y^2=x^2-8xy+16y^2`

Therefore option D is incorrect.

Since the given expression can not be factored further, therefore it is a prime expression and option C is correct.