1 4(x-y+1)+y(y-2x)2 4x^4-13x^2+9因式分解.
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1 4(x-y+1)+y(y-2x)
2 4x^4-13x^2+9
因式分解.
1、4(x-y+1)+y(y-2x)
=4x-4y+4+y²-2xy
=y²-4y+4-2xy+4x
=(y-2)²-2x(y-2)
=(y-2x-2)(y-2)
2、4x^4-13x^2+9
=(4x^4-4x²)-(9x²-9)
=4x²(x+1)(x-1)-9(x+1)(x-1)
=(4x²-9)(x+1)(x-1)
=(2x+3)(2x-3)(x-1)(x+1)
4(x-y+1)+y平方-2xy x平方(2x-根号13)(2x+根号13)+9
1 4(x-y+1)+y(y-2x)=y^2-2xy+4x-4y+4=(y^2-4y+4)-(2xy-4x)=(y-2)^2-2x(y-2)=(y-2x-2)(y-2)
2 4x^4-4x^2-9x^2+9=4x^2(x^2-1)-9(x^2-1)=(4x^2-9)(x^2-1)=(2x+3)(2x-3)(x+1)(x-1)
1、(2-y)(2x-y+2)
2、(4x^2-9)(x^2-1)
1、=(y-2)^2-2x(y-2)=(y-2x-2)(y-2)
2、=4x^4-4x^2-9x^2+9=4x^2(x+1)(x-1)-9(x-1)(x+1)=(4x^2-9)(x^2-1)=(2x+3)(2x-3)(x+1)(x-1)
第一题, 我还是认为不能证明,如果b和a c都是负数的时候就不能成立。。1。b=a c,b 2;-4ac=(a c) 2;-4ac=(a-c) 2;≥0对 2。
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