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#5, let a=4 and b=9 Grades MATH-2090-00 x y G Dillon n Spring x MasteringBiology

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Question

#5, let a=4 and b=9

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Explanation / Answer

=(a2+b2)-(a-b)2

=(a2+b2)-(a2-2ab+b2)

removing brackets

=a2+b2-a2+2ab-b2

hence we get 2ab

therefore

2ab=(a2+b2)-(a-b)2

they have given the value of a2+b2=29 and a-b=3. substituting the value

2ab= 29-(3)2

=29-3*3

=29-9

2ab=20

ab=20/2

ab=10