数学因式分解习题要步骤:-x³+x²-¼x(a²-1)(b²-1)+4
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数学因式分解习题
要步骤:
-x³+x²-¼x
(a²-1)(b²-1)+4ab
(-2xy²)²·3x²y÷(-6x³y^4)
请给出详细的步骤,
谢谢合作!
-x³+x²-¼x
=-x(x²-x+1/4)
=-x(x-1/2)²
(a²-1)(b²-1)+4ab
=a²b²-a²-b²+1+4ab
=a²b²+2ab+1 -a²+2ab-b²
=(ab+1)²-(a-b)²
=(ab+1+a-b)(ab+1-a+b)
(-2xy²)²·3x²y÷( -6x³y^4)
=4x²y的4次方×3x²y÷(-6x³y^4)
=-2xy
=-x(x²-x+1/4)
=-x(x-1/2)²
(a²-1)(b²-1)+4ab
=a²b²-a²-b²+1+4ab
=a²b²+2ab+1 -a²+2ab-b²
=(ab+1)²-(a-b)²
=(ab+1+a-b)(ab+1-a+b)
(-2xy²)²·3x²y÷( -6x³y^4)
=4x²y的4次方×3x²y÷(-6x³y^4)
=-2xy
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