tex]...

July 2022 1 7 Report

1)Вычислить:
1.[tex] \frac{27}{32} * \frac{8}{162} * \frac{72}{69} [/tex]
2.[tex]( \frac{5}{8} + \frac{7}{12}) * (3 \frac{23}{58} - 2 \frac{9}{58}) [/tex]
2)Разложить на множители:
1.[tex]a^{4}- b^{4}+ b^{2}-a^{2} [/tex]
2.[tex]m^{5} + m^{3}- m^{2}- m^{4} [/tex]
3.[tex] x^{4} - x^{3}- x+ x^{2} [/tex]

Answers & Comments

semenoff76 1) $\frac{27*8*72}{32*162*69} = \frac{9*36}{23*4*81} = \frac{1}{23}$

2) $( \frac{5}{8} + \frac{7}{12} )*(3 \frac{23}{58} -2 \frac{9}{58} )= \frac{15+14}{24}*1 \frac{14}{58} = \frac{29}{24} * \frac{36}{29} = \frac{36}{24}$ $=1.5$

$a^{4}- b^{4} + b^{2} -a^{2} =(a^{2}-b^{2})( a^{2} + b^{2} )-(a^{2} - b^{2} )= \\ =(a^{2} - b^{2} )( a^{2} + b^{2} -1)=(a{} - b{} )(a+b)( a^{2} + b^{2} -1)$

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ola550 Где остальные?

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