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\(=x^2\left(a+b\right)-6x\left(a+b\right)+9\left(a+b\right)\)
\(=\left(a+b\right)\left(x^2-6x+9\right)\)
\(=\left(a+b\right)\left(x-3\right)^2\)
bn làm sai rồi kìa bn
-6x nhân với b là ra âm 6bx rùi bn
mà đề cho là dương 6bx
1) \(x^2+4xy+4y^2-a^2+2ab-b^2\)
\(=\left(x+y\right)^2-\left(a-b\right)^2\)
\(=\left(x+y-a+b\right)\left(x+y+a-b\right)\)
4) \(ax^2+bx^2-6ax+6bx+9a+9b\)
\(=\left(ax^2-6ax+9a\right)+\left(bx^2+6bx+9b\right)\)
\(=a\left(x^2-6x+9\right)+b\left(x^2+6x+9\right)\)
\(=a\left(x-3\right)^2+b\left(x+3\right)^2\)
1)
\(x^2+4xy+4y^2-a^2+2ab-b^2\)
\(=(x^2+4xy+4y^2)-(a^2-2ab+b^2)\)
\(=(x+2y)^2-(a-b)^2\)
\(=(x+2y-a+b)(x+2y+a-b)\)
2)
\(m^2-6m+9-x^2+4xy-4y^2\)
\(=(m^2-6m+9)-(x^2-4xy+4y^2)\)
\(=(m-3)^2-(x-2y)^2\)
\(=[(m-3)-(x-2y)][(m-3)+(x-2y)]\)
\(=(m-3-x+2y)(m-3+x-2y)\)
3)
\(ax^2+bx^2+2axy+2bxy+ay^2+by^2\)
\(=a(x^2+y^2+2xy)+b(x^2+2xy+y^2)\)
\(=a(x+y)^2+b(x+y)^2\)
\(=(a+b)(x+y)^2\)
4)
\(ax^2+bx^2+6ax+6bx+9a+9b\)
\(=(ax^2+6ax+9a)+(bx^2+6bx+9b)\)
\(=a(x^2+6x+9)+b(x^2+6b+9)\)
\(=a(x+3)^2+b(x+3)^2=(a+b)(x+3)^2\)
5)
\(8a^2xy-18b^2xy\)
\(=2xy(a^2-9b^2)=2xy[a^2-(3b)^2]\)
\(=2xy(a-3b)(a+3b)\)
\(ax^2-3axy+bx-3by\\ =x\left(ax+b\right)-3y\left(ax+b\right)\\ =\left(x-3y\right)\left(ax+b\right)\)
\(5x^2y+5xy^2-a^2x-a^2y\\ =5xy\left(x+y\right)-a^2\left(x+y\right)\\ =\left(5xy-a^2\right)\left(x+y\right)\)
\(2ax^3+6ax^2+6ax+18a\\ =2ax^2\left(x+3\right)+6a\left(x+3\right)\\ =2a\left(x^2+3\right)\left(x+3\right)\)
\(10xy^2-5by^2+2ax-ab\\ =5y^2\left(2x-b\right)+a\left(2x-b\right)\\ =\left(5y^2+a\right)\left(2x-b\right)\)
\(ax-bx+cx-3a+3b-3c\\ =x\left(a-b+c\right)-3\left(a-b+c\right)\\ =\left(x-3\right)\left(a-b+c\right)\)
\(=\left(4ay+ax\right)-\left(6bx+24by\right)\\ =a\left(4y+x\right)-6b\left(4y+x\right)=\left(a-6b\right)\left(x+4y\right)\)