Question

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Answer 1

Answer:

44

Step-by-step explanation:

$3 {x}^{2} + 3 {y}^{2} = 42$

${x}^{2} + {y}^{2} = 14$

$xy = - 15$

$2xy = - 30$

${x}^{2} - 2xy + {y}^{2} = 14 + 30 = 44$

${(x - y)}^{2} = 44$

Answer 2

Answer:

(x-y)² = 44

Step-by-step explanation:

Given:

$i) \: 3 {x}^{2} + 3 {y}^{2} = 42$

$ii) \: xy = - 15$

To Find:

$(x - y)^{2}$

Solution:

$3 {x}^{2} + 3 {y}^{2} = 42$

$3( {x}^{2} + {y}^{2} ) = 42$

${x}^{2} + {y}^{2} = \frac{42}{3}$

$\bf \red{{x}^{2} + {y}^{2} = 14}$

$\bf \green{xy = - 15}$

We know that,

$\boxed{(x - y)^{2} = {x}^{2} + {y}^{2} - 2xy}$

Substituting above calculated values, we get,

$\bf {(x - y)}^{2} = \red{14} - 2 \times ( \green{ - 15})$

$\bf {(x - y)}^{2} = 14 + 30$

$\boxed{ \bf\huge \pink { {(x - y)}^{2} = 44}}$