(-4x(2xy+3xy^2)+12(x^2y)^2y^3)÷(-6xy)
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/10/02 19:07:48
(-4x(2xy+3xy^2)+12(x^2y)^2y^3)÷(-6xy)
原式=[-4x(2xy+3xy²)+12(x²y)²y³]÷(-6xy)
=[-4x×2xy-4x×3xy²+12×(x²)²×y²×y³]÷(-6xy)
=(-8x²y-12x²y²+12x^4y^5)÷(-6xy)
=-8x²y÷(-6xy)-12x²y²÷(-6xy)+12x^4y^5÷(-6xy)
=-8÷(-6)×(x²÷x)×(y÷y)-12÷(-6)×(x²÷x)×(y²÷y)+12÷(-6)×(x^4÷x)×(y^5÷y)
=(4/3)x+2xy-2x³y^4
=[-4x×2xy-4x×3xy²+12×(x²)²×y²×y³]÷(-6xy)
=(-8x²y-12x²y²+12x^4y^5)÷(-6xy)
=-8x²y÷(-6xy)-12x²y²÷(-6xy)+12x^4y^5÷(-6xy)
=-8÷(-6)×(x²÷x)×(y÷y)-12÷(-6)×(x²÷x)×(y²÷y)+12÷(-6)×(x^4÷x)×(y^5÷y)
=(4/3)x+2xy-2x³y^4
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