Question

0.74 × 0.74 × 0.74 - 0.26 × 0.26 × 0.26 / 0.74 × 0.74 + 0.74 × 0.26 + 0.26 × 0.26 using a suitable identity

Answer 1

Answer:

First of all join the favourable terms to make the question suitable for applying identity

$\frac{0.74 {}^{3} - 0.26 {}^{3} }{0.74 {}^{2} + 0.74 \times 0.26 + 0.26 + 0.26 {}^{2} }$

by applying the identity of a3 + b3 =(a-b ) (a2+ab +b2)

$\frac{(0.74 - 0.26)(0.74 {}^{2} + 0.74 \times 0.26 + 0.26 {}^{2} )}{0.74 {}^{2} + 0.74 \times 0.26 + 0.26 {}^{2} }$

$2nd \: bracket \: and \: the \: down \: bracket \: gets \: cancelled$

$so \: the \: solution \: becomes \:$

$(0.74 - 0.26)$

$0.48$

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