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\left(27\left(u^{2}\right)^{3}+135\left(u^{2}\right)^{2}+225u^{2}+125\right)\left(3u-1\right)^{2}

Uporabite binomski izrek \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3}, da razširite \left(3u^{2}+5\right)^{3}.

\left(27u^{6}+135\left(u^{2}\right)^{2}+225u^{2}+125\right)\left(3u-1\right)^{2}

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in 3, da dobite 6.

\left(27u^{6}+135u^{4}+225u^{2}+125\right)\left(3u-1\right)^{2}

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in 2, da dobite 4.

\left(27u^{6}+135u^{4}+225u^{2}+125\right)\left(9u^{2}-6u+1\right)

Uporabite binomski izrek \left(a-b\right)^{2}=a^{2}-2ab+b^{2}, da razširite \left(3u-1\right)^{2}.

243u^{8}-162u^{7}+1242u^{6}-810u^{5}+2160u^{4}-1350u^{3}+1350u^{2}-750u+125

Uporabite lastnost distributivnosti za množenje 27u^{6}+135u^{4}+225u^{2}+125 krat 9u^{2}-6u+1 in kombiniranje pogojev podobnosti.

\left(27\left(u^{2}\right)^{3}+135\left(u^{2}\right)^{2}+225u^{2}+125\right)\left(3u-1\right)^{2}

Uporabite binomski izrek \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3}, da razširite \left(3u^{2}+5\right)^{3}.

\left(27u^{6}+135\left(u^{2}\right)^{2}+225u^{2}+125\right)\left(3u-1\right)^{2}

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in 3, da dobite 6.

\left(27u^{6}+135u^{4}+225u^{2}+125\right)\left(3u-1\right)^{2}

Če želite potenco potencirati z drugo potenco, pomnožite eksponente. Pomnožite 2 in 2, da dobite 4.

\left(27u^{6}+135u^{4}+225u^{2}+125\right)\left(9u^{2}-6u+1\right)

Uporabite binomski izrek \left(a-b\right)^{2}=a^{2}-2ab+b^{2}, da razširite \left(3u-1\right)^{2}.

243u^{8}-162u^{7}+1242u^{6}-810u^{5}+2160u^{4}-1350u^{3}+1350u^{2}-750u+125

Uporabite lastnost distributivnosti za množenje 27u^{6}+135u^{4}+225u^{2}+125 krat 9u^{2}-6u+1 in kombiniranje pogojev podobnosti.

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