If a^(2)+bx^(2) =13, and ab=6, find the value of a)(a+b)^(2) b)(a-b)^(2)

asked Apr 4, 2019 101k views

2 votes

, and ab=6, find the value of

a)
(a+b)^(2)

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3 votes

$a^2-b^2=13;\ ab=6$

$a)\\(a+b)^2=a^2+2ab+b^2=(a^2+b^2)+2(ab)=13+2\cdot6=25\\\\b)\\(a-b)^2=a^2-2ab+b^2=(a^2+b^2)-2(ab)=13-2\cdot6=1$

Paercebal answered Apr 11, 2019

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