Bài 1:
` x^3 + 27 = 9 - x^2 `
` <=> (x + 3)(x^2 - 3x + 9) - (3 - x)(3 + x) = 0 `
` <=> (x + 3)(x^2 - 3x + 9 - 3 + x) = 0 `
` <=> (x + 3)(x^2 - 2x + 6) = 0 `
Vì giải `x` ta thấy ` x^2 - 2x + 6 < 0 ` hoặc ` x^2 - 2x + 6 > 0 `
` => x + 3 = 0 `
` <=> x = -3 `
Bài 2:
` x^4 + 3x^2 - 4 `
` = x^4 - x^2 + 4x^2 - 4 `
` = (x^4 - x^2) + (4x^2 - 4) `
` = x^{2}(x^2 - 1) + 4(x^2 - 1) `
` = (x^2 - 1)(x^2 + 4) `
` = (x - 1)(x + 1)(x^2 + 4) `