Question

answer the question given in the picture above

Answer 1

Hope u like my process
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Formula to be used::
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a³ + b³ = (a+b) (a² - ab + b²)
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$\frac{0.75 \times 0.75 \times 0.75 + 0.25 \times 0.25 \times 0.25}{0.75 \times 0.75 - 0.75 \times 0.25 + 0.25 \times 0.25} \\ \\ = \frac{ {(0.75)}^{3} + {(0.25)}^{3} }{ ({(0.75)}^{2} - 0.75 \times 0.25 + {(0.25)}^{2}) } \\ \\ = \frac{(0.75 + 0.25)( {(0.75)}^{2} - 0.75 \times 0.25 + {(0.25)}^{2}) }{ ({(0.75)}^{2} - 0.75 \times 0.25 + {(0.25)}^{2}) } \\ \\ = 0.75 + 0.25 = 1.....proved.....$
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