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(a-b)^2 Expansion and Visualisation

If a + b = ...

Question

If $(a + b) = 12$ and $a b = 14$ , then $(a^{2} + b^{2}) =$

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Solution

$(a + b)$ & $a b = 14$
$(a^{2} + b^{2}) = {(a + b)}^{2} - 2 a b = {(12)}^{2} - 2 (14) = 144 - 28 = 116$

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a + b = 7

a b = 12

a^{2} - a b + b^{2}

a - b = 1

a b = 12

, find the value of

(a^{2} + b^{2})

Q. Tick (✓) the correct answer:
If (a + b) = 12 and ab = 14, then (a² + b²) = ?
(a) 172
(b) 116
(c) 165
(d) 126

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a^{2} - b^{2}

a + b + c = 12

a^{2} + b^{2} + c^{2} = 50

, then ab + bc + ca = .

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