4''How do you go to the airport?'' His friend asked him
5. Where do you learn English?'' She asked Hoa
6.''What aspect of learning English do the students find most difficult?'' The teacher asked me
7.'What time do schools begin?'' He asked
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4......4.......4......4=68
4......4........4......4=48
4.......4........4......4=24
4.......4........4.......4=20
4........4........4.......4=5
(x+2)(x+5)(x+3)(x+4)-24=(X^2+7x+10)(x^2+7x+12)-24. Đặt x^2+7x+10=t đa thức đã cho trở thành t*(t+2)-24=t^2+2t-24=t^2+6t-4t-24=t*(t+6)-4(t+6). =(t+6)(t-4).
Ta có:
\(\frac{\left(2^4+4\right).\left(6^4+4\right).\left(10^4+4\right).\left(14^4+4\right)}{\left(4^4+4\right).\left(8^4+4\right).\left(12^4+4\right).\left(16^4+4\right)}\)
\(=\frac{\left(1^2+1\right).\left(3^2+1\right).\left(5^2+1\right).\left(7^2+1\right).\left(9^2+1\right).\left(11^2+1\right).\left(13^2+1\right).\left(15^2+1\right)}{\left(3^2+1\right).\left(5^2+1\right).\left(7^2+1\right).\left(9^2+1\right).\left(11^2+1\right).\left(13^2+1\right).\left(15^2+1\right).\left(17^2+1\right)}\)
\(=\frac{1^2+1}{17^2+1}=\frac{1}{145}\)
\(\frac{\left(2^4+4\right)\left(6^4+4\right)\left(10^4+4\right)\left(14^4+4\right)}{\left(4^4+4\right)\left(8^4+4^4\right)\left(12^4+4\right)\left(16^4+4\right)}\)
\(=\frac{4\left(2^4+6^4+10^4+14^4\right)}{4\left(4^4+8^4+12^4+16^4\right)}\)
\(=\frac{4.76848}{4.90624}\)
\(=\frac{307392}{362496}=\frac{1601}{1888}\)
\(a^4+4=a^4+4a^2+4-4a^2=\left(a^2+2\right)^2-\left(2a\right)^2=\left(a^2-2a+2\right)\left(a^2+2a+2\right)\) \(=\left[\left(a-1\right)^2+1\right]\left[\left(a+1\right)^2+1\right]\)
Áp dụng công thức trên, ta có:
\(P=\frac{\left(0^2+1\right)\left(2^2+1\right)\left(4^2+1\right)\left(6^2+1\right).....\left(20^2+1\right)\left(22^2+1\right)}{\left(2^2+1\right)\left(4^2+1\right)\left(6^2+1\right)\left(8^2+1\right).....\left(22^2+1\right)\left(24^2+1\right)}=\frac{1}{24^2+1}=\frac{1}{577}\)
Chúc bạn học tốt.
dễ mà
\(x^4+4=x^4+4x^2+4-4x^2=\left(x^2+2\right)^2-4x^2=\left(x^2-2x+2\right)\left(x^2+2x+2\right)\)thay x = 1;x=3 vào ra kq thui
1 His friend asked Him how he went to the airport
2 She asked Hoa where she learnt English
6 The teacher asked me what aspect of learning English the student found most difficult
7 He asked what time schools began
4. His friend asked him how he went to the airport.
5. She asked Hoa where she learnt English.
6. The teacher asked me what aspect of learning English the students found most difficult.
7. He asked what time schools began.