Which expression is equivalent to

Mathematics

1 answer:

g100num [7]3 years ago

6 0

Answer:

16 x¹⁰ + 88 x⁵ + 121

step-by-step explanation:-

( 4 x⁵ + 11)²

use ( a + b)² = a² + 2ab + b² to expand the expression

( 4x ⁵)² +2 ( 4x⁵) ( 11 ) + ( 11 )²

calculate we get

16 x¹⁰ + 88 x⁵ + 121

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−

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$\text{Hence the equation whose roots are}~ \alpha^3 ~\text{and}~ \beta^3~ \text{is:}\\ \\ x^2-(\alpha^3 + \beta^3)x +\alpha^3 \beta^3 =0\\\\\implies x^2 -(-45)x+(-8)=0\\\\\implies x^2 +45x -8=0$