Question

step by step explenation

Answer 1

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Answer 2

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▶ Given :


i) 3x + 2y = 20


ii) xy = 11 / 9



▶ To Find : 27x^3 + 8y^3



▶ According to the Question :


27x^3 = ( 3x )^3


8y^3 = ( 2y )^3


We know that :


a^3 + b^3 = ( a + b )^3 - 3ab ( a + b )


( 3x )^3 + ( 2y )^3 = ( 3x + 2y )^3 - 3 × 3x × 2y ( 3x + 2y )


( 3x )^3 + ( 2y )^3 = ( 20 )^3 - 18xy ( 20 )


( 3x )^3 + ( 2y )^3 = 8000 - 18 × 11 / 9 × 20


( 3x )^3 + ( 2y )^3 = 8000 - 440


( 3x )^3 + ( 2y )^3 = 7560



✔✔ Hence, it is solved ✅✅



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