Answer:
Option (A) is correct.
Factors of expression [tex]x^2-8x+16[/tex] is [tex](x-4)(x-4)[/tex]
Step-by-step explanation:
Consider the given expression, [tex]x^2-8x+16[/tex]
We have to factorize the given expression.
Consider [tex]x^2-8x+16[/tex] Put this equal to 0.
[tex]x^2-8x+16=0[/tex] is a quadratic equation.
We can solve this using middle term splitting method,
-8x can be written as -4x + (-4x)
Expression becomes,
[tex]x^2-8x+16=0 \Rightarrow x^2-4x-4x+16=0[/tex]
Taking x common from first two terms and -4 from last two terms , we get,
[tex]\Rightarrow x(x-4)-4(x-4)=0[/tex]
[tex]\Rightarrow (x-4)(x-4)[/tex]
Thus, factors of expression [tex]x^2-8x+16[/tex] is [tex](x-4)(x-4)[/tex]
Thus, Option (A) is correct.
