if X square + 1 upon x square is equals to 7 then find the value of x cube + 1 upon x cube
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x²+1/x²=7
LCM of 1 of x²=x²
x²(x²)+1/x²=7
x⁴+1=7x²
x(x³)+1=7x²
x³=7x²-1/x
According to the question
x³+1/x³
7x²-1/x+1/7x²-1/x
7x²-1/x+ x/7x²-1
LCM of x and 7x²-1
7x²-1(7x²-1)+x(x)/x(7x²-1)
49x⁴-7x²-7x²+1+x²/7x³-x
49x⁴-12x²+1/7x³-x
LCM of 1 of x²=x²
x²(x²)+1/x²=7
x⁴+1=7x²
x(x³)+1=7x²
x³=7x²-1/x
According to the question
x³+1/x³
7x²-1/x+1/7x²-1/x
7x²-1/x+ x/7x²-1
LCM of x and 7x²-1
7x²-1(7x²-1)+x(x)/x(7x²-1)
49x⁴-7x²-7x²+1+x²/7x³-x
49x⁴-12x²+1/7x³-x
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