If a+b=7 & ab=6,find a^2-b^2
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Step-by-step explanation:
a+b=7
ab=6
(a+b)²=7²
a²+b²+2ab=49
a²+b²+2(6)=49
a²+b²+12=49
a²+b²=37
(a-b)²=a²+b²-2ab
(a-b)²=(a+b)²-4ab
=49-24
25
a-b=5
a+b=7
2a=12
a=6
b=1
a²-b²=6²-1²
=36-1
= 35
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