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Expansion of (x+a)(x+b)

Find the valu...

Question

Find the value of 27x³ + 8y³, if

(i) 3x + 2y = 14 and xy = 8

(ii) 3x + 2y = 20 and xy = $\frac{14}{9}$

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Solution

In the given problem, we have to find the value of

(i) Given

On cubing both sides we get,

We shall use identity

Hence the value of is

(ii) Given

On cubing both sides we get,

We shall use identity

Hence the value of is .

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Similar questions

3 x - 2 y = 13

x y = 5

, find the value of

27 x^{3} - 8 y^{3}

3 x - 2 y = 11

x y = 12

, find the value of

27 x^{3} - 8 y^{3}

If $3 x + 2 y = 9 a n d x y = 3, f i n d : 27 x^{3} + 8 y^{3}$

3 x + 2 y = 12

x y = 6

then find the value of

{27 x}^{3} + {8 y}^{3}

If $x - 2 y = 11$ and $x y = 8$ find the value of $x^{3} - 8 y^{3}$ .

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