Question

What is
$\frac{0.0347 \times 0.0347 \times 0.0347 + 0.9653 \times 0.9653 \times 0.9653}{0.0347 \times 0.0347 - 0.0347 \times 0.9653 + 0.9653 \times 0.9653}$
equal to?
A. 120
B. 1
C.O.OOI
D.0.0347​

Answer 1

Answer:

1

Step-by-step explanation:

$\frac{0.0347^{3} +0.9653^{3} }{0.0347^{2} - (0.0347 * 0.9653) + 0.9653^{2} }$

Let 0.0347 be a and 0.9653 be b . Then the equation becomes

$\frac{a^{3} + b^{3} }{a^{2} - ab + b^{2} }$

$\frac{(a + b)(a^{2} - ab + b^{2} )}{(a^{2} - ab + b^{2} )}$    [$a^{3} + b^{3} = (a + b)(a^{2} - ab + b^{2} )$]

= (a + b)

= 0.0347 + 0.9653

= 1

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