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Trekk sammen. a) \( 2(2 a-b)+3(-2 a+3 b) \)

Ask by Garrett Santiago. in Norway
Jan 20,2025

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a) \( -2a + 7b \)

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La oss forenkle uttrykket \( 2(2a - b) + 3(-2a + 3b) \). Først distribuerer vi konstantene inn i parentesene: 1. \( 2(2a - b) = 4a - 2b \) 2. \( 3(-2a + 3b) = -6a + 9b \) Nå kan vi legge sammen de to delene: \[ 4a - 2b - 6a + 9b \] Samle leddene med \( a \) og leddene med \( b \): \[ (4a - 6a) + (-2b + 9b) = -2a + 7b \] Dermed er det forenklede uttrykket: \[ -2a + 7b \]

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