Algebrahard · Past Paper
Factorize: x^4 + 4
A(x^2+2x+2)(x^2-2x+2)
B(x^2+2)^2
C(x^2-2)^2
D(x-1)(x+1)(x-2)(x+2)
✓ Correct Answer: A — (x^2+2x+2)(x^2-2x+2)
x^4 + 4x^2 + 4 - 4x^2 = (x^2+2)^2 - (2x)^2 = (x^2+2+2x)(x^2+2-2x).
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✓ Correct Answer: A — (x^2+2x+2)(x^2-2x+2)
x^4 + 4x^2 + 4 - 4x^2 = (x^2+2)^2 - (2x)^2 = (x^2+2+2x)(x^2+2-2x).
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