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受欢迎的代数 >

因式分解 (a+5)^3(a+1)^2+(a+5)^2(a+1)^3

解答

因式分解

(a + 5)^{3} (a + 1)^{2} + (a + 5)^{2} (a + 1)^{3}

解答

2 (a + 5)^{2} (a + 1)^{2} (a + 3)

求解步骤

(a + 5)^{3} (a + 1)^{2} + (a + 5)^{2} (a + 1)^{3}

因式分解出通项

(a + 5)^{2} (a + 1)^{2} : (a + 5)^{2} (a + 1)^{2} (2 a + 6)

= (a + 5)^{2} (a + 1)^{2} (2 a + 6)

因式分解

2 a + 6 : 2 (a + 3)

= (a + 5)^{2} (a + 1)^{2} \cdot 2 (a + 3)

= 2 (a + 5)^{2} (a + 1)^{2} (a + 3)

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