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Inlislah setiap bentuk aljahar berikut dalam bentuk jabaran a. \( 3(x+2) \) b. \( 8(2 x-5) \) a. \( 2 x(x+5) \) \& \( (x+1)(x+3) \) 2 T.Wirlah setiap bentuk aljabar berikut dalam bentuk faktor. a. \( 12 x+6 \) f. \( x^{2}+2 x \) c \( x+x+x+3 \)

Ask by Mcdonald Nichols. in Indonesia
Jan 20,2025

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### 1. **Jabarkan Bentuk Aljabar** a. \( 3(x + 2) = 3x + 6 \) b. \( 8(2x - 5) = 16x - 40 \) c. \( 2x(x + 5) = 2x^2 + 10x \) d. \( (x + 1)(x + 3) = x^2 + 4x + 3 \) ### 2. **Faktorkan Bentuk Aljabar** a. \( 12x + 6 = 6(2x + 1) \) b. \( x^2 + 2x = x(x + 2) \) c. \( x + x + x + 3 = 3(x + 1) \) Semoga ini membantu!

Solution

Berikut adalah jawaban untuk setiap soal yang diberikan: ### 1. **Jabarkan setiap bentuk aljabar berikut dalam bentuk jabaran** a. \( 3(x + 2) \) \[ 3(x + 2) = 3 \times x + 3 \times 2 = 3x + 6 \] b. \( 8(2x - 5) \) \[ 8(2x - 5) = 8 \times 2x + 8 \times (-5) = 16x - 40 \] c. \( 2x(x + 5) \) \[ 2x(x + 5) = 2x \times x + 2x \times 5 = 2x^2 + 10x \] d. \( (x + 1)(x + 3) \) \[ (x + 1)(x + 3) = x \times x + x \times 3 + 1 \times x + 1 \times 3 = x^2 + 4x + 3 \] ### 2. **Faktorkan setiap bentuk aljabar berikut dalam bentuk faktor** a. \( 12x + 6 \) \[ 12x + 6 = 6 \times 2x + 6 \times 1 = 6(2x + 1) \] b. \( x^2 + 2x \) \[ x^2 + 2x = x \times x + x \times 2 = x(x + 2) \] c. \( x + x + x + 3 \) \[ x + x + x + 3 = 3x + 3 = 3(x + 1) \] Semoga penjelasan ini membantu!

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Mari kita mulai dengan bentuk aljabar yang akan diubah menjadi jabaran! a. \( 3(x+2) = 3x + 6 \) b. \( 8(2x-5) = 16x - 40 \) c. \( 2x(x+5) = 2x^2 + 10x \) d. \( (x+1)(x+3) = x^2 + 4x + 3 \) Sekarang kita beralih ke bentuk faktor! a. \( 12x + 6 = 6(2x + 1) \) b. \( x^2 + 2x = x(x + 2) \) c. \( x + x + x + 3 = 3x + 3 = 3(x + 1) \)

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