Câu hỏi của Dang Le Tu Quynh

Question

phan tich da thuc thanh nhan tu:

x^4+9

minh dang can gap!!!

Phan Công Bằng · Accepted Answer

$x^4+9$

$=\left(x^2\right)^2+2.x^2.3+3^2-2.x^2.3$

$=\left(x^2\right)^2+6x^2+3^2-6x^2$

$=\left(x^2+3\right)^2-\left(\sqrt{6}x\right)^2$

$=\left(x^2+3-\sqrt{6}x\right)\left(x^2+3+\sqrt{6}x\right)$Câu trả lời: $x^4+9$

$=\left(x^2\right)^2+2.x^2.3+3^2-2.x^2.3$

$=\left(x^2\right)^2+6x^2+3^2-6x^2$

$=\left(x^2+3\right)^2-\left(\sqrt{6}x\right)^2$

$=\left(x^2+3-\sqrt{6}x\right)\left(x^2+3+\sqrt{6}x\right)$