(a+b)²=100 ab=16 a²-b²=?

(a+b)²=100 ab=16 a²-b²=?
(a+b)²=100 ab=16 a²-b²=?

(a+b)²=100 ab=16 a²-b²=?
(a+b)²=100
a^2+2ab+b^2=100
a^2+b^2=100-2*16=68
a^2-2ab+b^2=68-2*16=36
(a-b)^2=36
(a+b)²(a-b)^2=3600
(a²-b²)^2=3600
a²-b²=正负60

(a+b)²=100， ab=16
(a-b)²=(a+b)²-4ab=100-4x16=36
[(a+b)(a-b)]²=3600
(a+b)(a-b)=±60
a²-b²=(a+b)(a-b) =±60

(a+b)²=100 ,a+b=10
（a+b)²=a²+b²+2ab+(2ab-2ab)=a²-2ab+b²+4ab=（a-b)²)+4ab=（a-b)²)+4*16=（a-b)²)+64
（a-b)²)+64=100, （a-b)²=36,a-b=6
（a+b)（a-b)=10*6=60