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GCD of Polynomials

3 x+2 y=15 an...

Question

3x+2y = 15 and xy = 15, then the value of $9 x^{2} + 4 y^{2}$ is

A

45

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B

180

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C

225

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D

Can’t be determined

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E

None of these

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Solution

The correct option is A
45

${(3 x + 2 y)}^{2} = 9 x^{2} + 4 y^{2} + 12 x y$

$⟹ 225 - 180 = 9 x^{2} + 4 y^{2}$

$⟹ 9 x^{2} + 4 y^{2} = 45$

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Similar questions

3 x - 2 y = 5

x y = 4

then find the value of

9 x^{2} + 4 y^{2}

3 x + 2 y = 12

x y = 6

, find the value of

9 x^{2} + 4 y^{2}

3 x - 7 y = 10

x y = - 1

9 x^{2} + 49 y^{2}

3 x - \frac{1}{3 x} = 15

, find the value.

9 x^{2} + \frac{1}{9 x^{2}}

9 x^{2} - 4 y^{2}

can be written as :

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