x^2 + 8x + 16
To simplify the expression x^2 + 8x + 16, we look for any potential ways to factor or simplify it further
To simplify the expression x^2 + 8x + 16, we look for any potential ways to factor or simplify it further.
We can start by factoring the expression by using the quadratic formula, which states that for an expression of the form ax^2 + bx + c, the solutions for x can be found using the formula:
x = (-b ± √(b^2 – 4ac)) / (2a)
In our case, the expression is x^2 + 8x + 16, which can be written as ax^2 + bx + c with a=1, b=8, and c=16. Substituting these values into the quadratic formula, we get:
x = (-8 ± √(8^2 – 4(1)(16))) / (2(1))
x = (-8 ± √(64 – 64)) / 2
x = (-8 ± √0) / 2
x = (-8 ± 0) / 2
x = -8 / 2
x = -4
So, the expression x^2 + 8x + 16 can be factored as (x + 4)(x + 4), which can be further simplified as (x + 4)^2.
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