Question

I NEED HELP GUYS!:(

Factor the expression x2 − 8x + 16.
A.
(x − 4)(x − 4)
B.
(x − 4)(x + 4)
C.
(x + 4)(x + 4)
D.
(x − 8)(x + 8)

Answer 1

Option (A) is correct.

Factors of expression
`x^2-8x+16` is
`(x-4)(x-4)`

Explanation:

Consider the given expression,
`x^2-8x+16`

We have to factorize the given expression.

Consider
`x^2-8x+16` Put this equal to 0.

`x^2-8x+16=0` is a quadratic equation.

We can solve this using middle term splitting method,

-8x can be written as -4x + (-4x)

Expression becomes,

`x^2-8x+16=0 \Rightarrow x^2-4x-4x+16=0`

Taking x common from first two terms and -4 from last two terms , we get,

`\Rightarrow x(x-4)-4(x-4)=0`

`\Rightarrow (x-4)(x-4)`

Thus, factors of expression
`x^2-8x+16` is
`(x-4)(x-4)`

Thus, Option (A) is correct.

Answer 2

ANSWER


`\boxed{\:\:\:A.(x - 4)(x - 4)}`

EXPLANATION

We want to factor,


`{x}^(2) - 8x + 16`

Split the middle term to obtain,


`{x}^(2) - 4x - 4x+ 16`

Factor to get,


`x(x - 4) - 4(x - 4)`

Factor further to obtain,


`(x - 4)(x - 4)`

The correct answer is option A.