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Addition and Subtraction of Algebraic Expression

If x + y = ...

Question

If $x + y = 9, x y = 6$ find the value of $x^{2} + y^{2}$

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Solution

$(x + y)^{2} = x^{2} + y^{2} + 2 x y 9^{2} = x^{2} + y^{2} + 2 \times 6 ∴ x^{2} + y^{2} = 81 - 12 = 69$

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Similar questions

x - y = 7

x y = 9

, find the value of

(x^{2} + y^{2})

x = \sqrt{7} - \sqrt{6}

y = \sqrt{7} + \sqrt{6}

, find the value of

x^{2} + y^{2} - x y

(x + y + z) = 9

(x y + y z + z x) = 9

, then find the value of

(x^{2} + y^{2} + z^{2})

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Hi

If x+y=9 and xy = 20 . Find the value of x²+ y²?

x \times y = x^{2} + y^{2} - x y

then the value of

9 \times 11

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