证明2x²-4xy+4y²+2x+2的值总是不小于1

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/15 13:43:06

证明2x²-4xy+4y²+2x+2的值总是不小于1
证明2x²-4xy+4y²+2x+2的值总是不小于1

证明2x²-4xy+4y²+2x+2的值总是不小于1
2x^2-4xy+4y^2+2x+2
=x^2-4xy+4y^2+x^2+2x+1+1
=(x+2y)^2+(x+1)^2+1
因为(x+2y)^2>=0,(x+1)^2>=0
所以原式>=1
所以2x²-4xy+4y²+2x+2的值总是不小于1

2x²-4xy+4y²+2x+2
=(x²-4xy+4y²)+(x²+2x+1)+1
=(x-2y)²+(x+1)²+1>=1

用公式法进行因式分解 x(x+4)+4 25(x+y)²-9(x+y)² (x-y)(x²-xy+y²)+xy(y-x) 2a&su 计算:4xy²-3x²y-{3x²y-[2xy²-4x²y+2(x²y-2xy²)]急 x²-4y²/x²+2xy+y²÷x+2y/2x²+2xy 八年级数学问题3. 观察“探究性学习”小组的甲乙两名同学进行的因式分解:甲:x²-xy+4x-4y=(x²-xy)+(4x-4y)(分成两组)=x(x-y)+4(x-y)(直接提公因式)=(x-y)(x+4)乙:a²-b²-c²+2bc=a&su 代数式化简、求值一.化简x²y-3xy²+2yx²+y²x5(a²b-3ab²)-2(a²b-7ab²)二.化简、求值(1)(4a+3a²-3+3a³)-(-a+4a³),a=-2(2)(2x²y-2xy²)-[(-3x²y²+3x&su 计算x²-x/x²×x/1-x和x²-4y²/x²+2xy+y²÷x+2y/x²+xy 1.8a-4a²-4.2.m²-12m+36.3.(m+m)²-6(m+n)+9.4.3ax²+6axy+3ay².5.-x&su完全平方公式1。8a-4a²-4。m²-12m+36。(m+m)²-6(m+n)+9。3ax²+6axy+3ay²。-x²-4y²+4xy。2分之一x²+2xy+2y² 因式分解2x(x-y)^4 - x²(x-y)² + xy(y-x)²RT 6x²-xy-15y²=0 求x²-2xy+4y²/2x²-3xy-3y²告诉下 6x²-xy-15y²=0 求2x²-3xy-3y²分之x²-2xy+4y² 已知x² -XY = 2,Y² -XY= 5,求x² - 4x Y+ Y² = 2x² + xY -3Y² = x² 已知x² -XY = 2,Y² -XY= 5,求x² - 4x Y+ Y² = 2x² + xY -3Y² = x² + xY- 2Y² =求x² - 4x Y+ Y² = 4x²y-xy² 证明2x²-4xy+4y²+2x+2的值总是不小于1 1 3x²+4xy-y²=2 4xy+1-4x²-y²= x²-4y² x+2y---------- ÷ --------分数线x²+2xy+y² x²+xyx²-4y² x+2y----------÷--------分数线x²+2xy+y² x²+xy(x+2y)(x-2y)x(x+y)=----------------(x+y)(x+y)(x+2y)(x-y)x=------(x+y)这样对了吗? 单项式2xy,6x²y²,-3xy,-4x²y²的和为-------------- 求单项式2xy,6x² y²,-3xy,-4x²y²的和. 已知x²+xy=3,xy+y²=—2,求x²-y²的值?x²+4xy+3y²的值?2x²-xy-3y