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Step-by-step explanation:
9x^2+25y^2=181
(3x)^2+(5y)^2=181
Now we know that, (a+b)^2=a^2+b^2+2ab
so, a^2+b^2=(a+b)^2-2ab
by using this formula
(3x+5y)^2-2.3x.5y=181
by substituting the value,
(3x+5y)^2= 1
(3x+5y)=√1
=1
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