Math  /  Algebra

QuestionWhich expression represents x28x+16x^{2}-8 x+16 in factored form? (x2)(x8)(x-2)(x-8) (x+4)(x4)(x+4)(x-4) (x+4)2(x+4)^{2} (x4)2(x-4)^{2}

Studdy Solution
Verify the factorization by expanding (x4)2 (x-4)^2 to ensure it matches the original expression.
(x4)(x4)=x24x4x+16=x28x+16 (x-4)(x-4) = x^2 - 4x - 4x + 16 = x^2 - 8x + 16
The factorization is verified as correct.
The expression x28x+16 x^2 - 8x + 16 in factored form is:
(x4)2 \boxed{(x-4)^2}

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