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factor completely
x^4-16=0

• Math, not "12th grade" -

Assistance needed.

Please type your subject in the School Subject box. Any other words, including obscure abbreviations, are likely to delay responses from a teacher who knows that subject well.

I would insist that by 12th grade you would recognize the difference of squares pattern.

• Precalculus -

Problem x4 - 16 = 0

FIRST. Make [x4 - 16] a perfect square.

Dive -16 by two and square that number, add to both sides.

x4 -16 + 64 = 0 + 64

SECOND. Solve the equation.

(Simplify) → (x2 - 8)^2 this equal the left side of the equation.

so we have
(x2 -8)^2 = 64

Then
Remove the square by taking the square root of 64.
x2 - 8 = positive or negative 8

(x-2)(x+2)(x^2+4)= 0
Giving the solutions
x= +2;-2;-2i;2i
(i being the imaginary unit)

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