If √2x + √3y = √5, prove that
2√2x3 + 3√3y3 - 5√5 +3√30 xy = 0.
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Step-by-step explanation:
√2x + √3y = √5
=> √2x + √3y - √5 = 0 (if a+b+c = 0, then a³+b³+c³ = 3abc)
=> (√2x)³ + (√3y)³ - (√5)³ = 3(√2x)(√3y)(√5)
=> 2√2x³ + 3√3y³ - 5√5 = 3√30.xy
=> 2√2x³ + 3√3y³ - 5√5 - 3√30.xy = 0
Hence, proved.
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