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(x2-8)2+36=x4-16x2+100=x4+20x2+100-36x2=(x2+10)2-36x2=(x2+10-6x)(x2+10+6x)
\(\left(x^2-8\right)^2+36\)
\(=x^4-16x^2+64+36\)
\(=x^4-16x^2+100\)
\(=x^4+20x^2+100-36x^2\)
\(=\left(x^2+10\right)^2-36x^2\)
\(=\left(x^2+10-6x\right)\left(x^2+10+6x\right)\)
( x2 - 8)2 + 36 = x4 -16x2 +64 + 36
= (x4 +20x2 +100) -36x2
=( x2+10)2 -(6x)2
=(x2 + 10 -6x)(x2 +10 +6x)
\(x^2-6x+9=\left(x-3\right)^2\)
\(4x^2-36=\left(2x-6\right)\left(2x+6\right)\)
\(8-x^3=\left(2-x\right)\left(4+2x+x^2\right)\)
Đề bạn ghi hơi khó hiểu~
A= \(x.\left\{\left[x.\left(x^2-7\right)\right]^2-6^2\right\}=x.\left[x.\left(x^2-7\right)-6\right].\left[x.\left(x^2-7\right)+6\right]\)
A=\(x.\left[x^3-7x-6\right].\left[x^3-7x+6\right]\)
A= \(x.\left(x-3\right).\left(x+1\right).\left(x+2\right).\left(x+3\right).\left(x-1\right).\left(x-2\right)\)
\(x^4+3x^2+36\)
\(=\left(x^2\right)^2+2.x^2.6+6^2-9x^2\)
\(=\left(x^2+6\right)^2-\left(3x\right)^2=\left(x^2-3x+6\right)\left(x^2+3x+6\right)\)
\(2x^4-3x^3-7x^2+6x+8\)
\(=2x^4+2x^3-5x^3-5x^2-2x^2-2x+8x+8\)
\(=2x^3\left(x+1\right)-5x^2\left(x+1\right)-2x\left(x+1\right)+8\left(x+1\right)\)
\(=\left(x+1\right)\left(2x^3-5x^2-2x+8\right)\)
\(=\left(x+1\right)\left[2x^2\left(x-2\right)-x\left(x-2\right)-4\left(x-2\right)\right]\)
\(=\left(x+1\right)\left(x-2\right)\left(2x^2-x-4\right)\)
Chúc bạn học tốt.
x^2 - y^2 + 12y - 36
= x^2 - (y^2 - 12y +36)
=x^2 - (y-6)^2
= (x-y+6) ( x+y-6)