-15x^2+26xy+8y^2=
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解决时间 2021-03-10 20:37
- 提问者网友:我没有何以琛的痴心不悔
- 2021-03-10 16:33
-15x^2+26xy+8y^2=
最佳答案
- 五星知识达人网友:傲气稳了全场
- 2021-03-10 18:03
-15x^2+26xy+8y^2
=8y^2+26xy-15x^2
=(8y^2+26xy+169/8x^2)-169/8x^2-15x^2[针对前两项配方
=(2倍根号下2*y+13倍根号下2/4*x)^2-169/8*x^2-15*x^2
=(2倍根号下2*y+13倍根号下2/4*x)^2-289/8*x^2
=(2倍根号下2*y+13倍根号下2/4*x+17倍根号下2/4*x)(2倍根号下2*y+13倍根号下2/4*x-17倍根号下2/4*x)
=(2倍根号下2*y+15倍根号下2/2*x)(2倍根号下2*y-根号下2*x)
=2(2y+15/2*x)(2y-x)
=(4y+15x)(2y-x)追问是的
=8y^2+26xy-15x^2
=(8y^2+26xy+169/8x^2)-169/8x^2-15x^2[针对前两项配方
=(2倍根号下2*y+13倍根号下2/4*x)^2-169/8*x^2-15*x^2
=(2倍根号下2*y+13倍根号下2/4*x)^2-289/8*x^2
=(2倍根号下2*y+13倍根号下2/4*x+17倍根号下2/4*x)(2倍根号下2*y+13倍根号下2/4*x-17倍根号下2/4*x)
=(2倍根号下2*y+15倍根号下2/2*x)(2倍根号下2*y-根号下2*x)
=2(2y+15/2*x)(2y-x)
=(4y+15x)(2y-x)追问是的
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