Question

[Yến linh]

giải giúp mik vs ạ!!!

Answer 1

[Edogawa Conan]

a) x¹⁶+1 = (x¹⁶+2x⁸+1) - 2x⁸ = (x⁸+1)²-2x⁸ = \(\left(x^8-\sqrt{2}x^4+1\right)\left(x^8+\sqrt{2}x^4+1\right)\)

b) 81x⁴+144 = (81x⁴+216x²+144)-216x² = (9x²+12)²-216x²

\(=\left(9x^2-6\sqrt{6}x+12\right)\left(9x^2+6\sqrt{6}x+12\right)\)

c) \(4x^4+9=\left(4x^4+12x^2+9\right)-12x^2=\left(2x^2+3\right)^2-12x^2\)

\(=\left(2x^2-2\sqrt{3}x+3\right)\left(2x^2+2\sqrt{3}x+3\right)\)

d) \(16x^4y^4+1=\left(16x^4y^4+4x^2y^2+1\right)-4x^2y^2=\left(4x^2y^2+1\right)^2-4x^2y^2=\left(4x^2y^2-2xy+1\right)\left(4x^2y^2+2xy+1\right)\)

Answer 2

[Yến linh]

ủa n mà mik hỏi câu a là 2x^8 đâu ra á bn??