Question

Evaluate : (4.563+5.443 )/(4.562-4.56×5.44+5.442)
a) 0.88
b) -0.88
c) 10
d) -10​

Answer 1

Answer:

The answer to the given question is 10 which is option C

Step-by-step explanation:

Given ;

$\frac{ {(4.56)}^{3} + {(5.44)}^{3} }{ {(4.56)}^{2} - 4.56 \times 5.44 + {(5.44)}^{2} }$

To find

we have to evaluate the given formula.

solution :

we have to expand the value in the numerator.

the expansion of the formula will be

${a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )$

on the expansion of the numerator, we get the value as

$(4.56 + 5.44) \: \: {{(4.56)}^{2} - 4.56 \times 5.44 + {(5.44)}^{2} }$

substitute the above value in the numerator

$\frac{(4.56 + 5.44) \: \: {{(4.56)}^{2} - 4.56 \times 5.44 + {(5.44)}^{2} } }{{{(4.56)}^{2} - 4.56 \times 5.44 + {(5.44)}^{2} }}$

The like terms in both numerator and denominator will get cancelled.

on further proceeding, the final answer will be

$4.56 + 5.44$on adding these two values we get the final answer as a number

$10$

the value obtained as 10.

Therefore, the final answer to the given question is the evaluation of a given expression is 10.

which is an option C

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