已知(3a+b)(3a+b)=42.25,ab=3,求(3a-b)(3a-b)的值解题过程

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/24 19:35:40
已知(3a+b)(3a+b)=42.25,ab=3,求(3a-b)(3a-b)的值解题过程已知(3a+b)(3a+b)=42.25,ab=3,求(3a-b)(3a-b)的值解题过程已知(3a+b)(3

已知(3a+b)(3a+b)=42.25,ab=3,求(3a-b)(3a-b)的值解题过程
已知(3a+b)(3a+b)=42.25,ab=3,求(3a-b)(3a-b)的值解题过程

已知(3a+b)(3a+b)=42.25,ab=3,求(3a-b)(3a-b)的值解题过程
(3a-b)²
=(3a+b)²-12ab
=42.25-12×3
=6.25

(3a-b)²
=(3a+b)²-12ab
=42.25²-12×3
=1749.0625

(3a+b)*(3a+b)=42.25
9a^2+b^2+3ab+3ab=42.25
9a^2+b^2+6ab=42.25
因为ab=3,6ab=18
9a^2+b^2=42.25-18=24.25
(3a-b)*(3a-b)=9a^2+b^2-6ab
=24.25-18
=6.25

(3a+b)(3a+b)=42.25
ab=3
(3a-b)(3a-b)=(3a+b)(3a+b)- 2*(2*3a*b)
= (3a+b)(3a+b)- 12*ab
= 42.25 - 12*3
= 6.25

=9a^+b^2+6ab=42.25
(3a-b)(3a-b)=9a^2+b^2-6ab=42.25-12ab=42.25-36=6.25
选我谢谢

(3a+b)(3a+b)=9a²+6ab+b²=42.25
因ab=3 9a²+b²=42.25-6ab=24.25
(3a-b)(3a-b)=9a²-6ab+b²=24.25-6ab=6.25