Question

if a + b = 5 and AB = 2 find a2 + b2

Answer 1

(a+b)2 = a2+b2+2ab
(5) = a2 +b2 + 2×2
25. = a2 + b2 + 4
25 -4 =a2 +b2
21. =a2 +b2 PLEASE MARK IT AS BRAINLIEST ANS

Answer 2

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate}}}$

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Here is your answer
a + b = 5

ab = 2

Now Squaring both sides we get

$(a + b) {}^{2} = 5 {}^{2} \\ {a}^{2} + {b}^{2} + 2ab = 25 \\ {a}^{2} + {b}^{2} + 2 \times 2 = 25 \\ {a}^{2} + {b}^{2} = 25 - 4 \\ {a}^{2} + {b}^{2} = 21$

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