Đáp án:
Giải thích các bước giải:
\(11,\ x^{2}+2xy+y^{2}-25\\ =(x^2+2xy+y^2)-5^2\\ =(x+y)^2-5^2\\ =(x+y-5)(x+y+5)\\ 12,\ x^2-4xy+4y^2-36z^{2}\\ =(x^2-4xy+4y^2)-(6z)^{2}\\ =(x-2y)^{2}-(6z)^2\\ =(x-2y-6z)(x-2y+6z)\\ 13,\ 4a^2-x^2-2x-1\\ =(2a)^{2}-(x^2+2x+1)\\ =(2a)^2-(x+1)^2\\ =(2a-x-1)(2a+x+1)\\ 14,\ 36x^2-a^2+10a-25\\ =(6x)^2-(a^2-10a+25)\\ =(6x)^2-(a-5)^2\\ =(6x-a+5)(6x+a-5)\\ 15,\ 25a^2b^2-4x^2+4x-1\\ =(5ab)^2-(4x^2-4x+1)\\ =(5ab)^2-(2x-1)^2\\ =(5ab-2x+1)(5ab+2x-1)\\ 16,\ x^2-2x+1-a^2-2ab-b^2\\ =(x^{2}-2x+1)-(a^2+2ab+b^2)\\ =(x-1)^2-(a+b)^2\\ =(x-1-a-b)(x-1+a+b)\\ 17,\ 1-2m+m^2-x^2-4x-4\\ =(1-2m+m^2)-(x^2+4x+4)\\ =(1-m)^2-(x+2)^2\\ =(1-m-x-2)(1-m+x+2)\\ 18,\ m^2-6x+9-x^2+4xy-4y^2\\ =(m^{2}-6x+9)-(x^2-4xy+4y^2)\\ =(m-3)^{2}-(x-2y)^2\\ =(m-3-x+2y)(m-3+x-2y)\\ 20,\ 9xy-4a^2xy\\ =xy(9-4a^2)\\ =xy(3-2a)(3+2a)\\ 21,\ 2xm^3-2x\\ =2x(m^3-1)\\ =2x(m-1)(m^2+m+1)\\ 23,\ 16a^3xy-54b^3xy^4\\ =2xy(8a^3-27b^3y^3)\\ =2xy(2a-3by)(4a^2+6aby+9b^2y^2)\\ 24,\ 2x^3+16\\ =2(x^3+8)\\ =2(x+2)(x^2-2x+4)\)
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