Lời giải:
\(15\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^4-1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^8-1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(=\left(2^{16}-1\right)\left(2^{16}+1\right)\)
\(=2^{32}-1\)
Vậy giá trị của biểu thức trên là \(2^{32}-1\).
Chúc bạn học tốt!!!
a) \(3^4.5^4-\left(15^2+1\right)\left(15^2-1\right)\)
b) \(x^4-12x^3+12x^2-12x+111\) tại x=11
c) \(\left(6x+1\right)^2+\left(6x-1\right)^2-2\left(1+6x\right)\left(6x-1\right)\)
d) \(3\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
rút gọn biểu thức:
a) \(\left(6x+1\right)^2+\left(6x-1\right)^2-2\left(1+6x\right)\left(6x+1\right)\)
b) \(3\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
Rút gọn biểu thức :
a) \(\left(6x+1\right)^2+\left(6x-1\right)^2-2\left(1+6x\right)\left(6x-1\right)\)
b) \(3\left(2^2+1\right)\left(2^2+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
Tìm x:
a) \(3x\left(3x-8\right)-9x^2+8=0\)
b)\(6x-15-x\left(5-2x\right)=0\)
c) \(x^3-16x=0\)
d) \(2x^2+3x-5=0\)
e) \(3x^2-x\left(3x-6\right)=36\)
f) \(\left(x+2\right)^2-\left(x-5\right)\left(x+1\right)=17\)
g) \(\left(x-4\right)^2-x\left(x+6\right)=9\)
h) \(4x\left(x-1000\right)-x+1000=0\)
i) \(x^2-36=0\)
j) \(x^2y-2+x+x^2-2y+xy=0\)
k) \(x\left(x+1\right)-\left(x-1\right).\left(2x-3\right)=0\)
l) \(3x^3-27x=0\)
Cho đa thức \(P\left(x\right)\) có bậc 8 thỏa mãn \(P\left(1\right)=P\left(-1\right)\) ; \(P\left(2\right)=P\left(-2\right)\);\(P\left(3\right)=P\left(-3\right)\) và \(P\left(4\right)=P\left(-4\right)\). Chứng minh rằng \(P\left(x\right)=P\left(-x\right)\) với mọi \(x\).
1. Giải phương trình sau :
a)\(\dfrac{1}{2}\left(x+1\right)+\dfrac{1}{4}\left(x+3\right)=3-\dfrac{1}{3}\left(x+2\right)\)
b) \(\dfrac{x+2}{98}+\dfrac{x+4}{96}=\dfrac{x+6}{94}+\dfrac{x+8}{92}\)
c)\(\dfrac{x-2}{77}+\dfrac{x-11}{78}=\dfrac{x+74}{15}+\dfrac{x-73}{16}\)
Bài 1: Phân tích đa thức sau thành nhân tử:
a) \(x^3-4x^2-12x+27\)
b) \(25\left(x-y\right)^2-16\left(x+y\right)^2\)
c) \(x^4+x^3+x+1\)
d) \(x\left(x+1\right)^2+x\left(x-5\right)-5\left(x+1\right)^2\)
e) \(x^2-x-6\)
f)\(x^3-19x-30\)
Bài 2: Tìm x, biết:
a) \(\left(x+2\right)^2-\left(x-2\right)\left(x-2\right)=0\)
b) \(\left(x-2\right)^2-\left(x-3\right)\left(x+3\right)=6\)
c) \(4\left(x-3\right)^2-\left(2x-1\right)\left(2x+1\right)=10\)
d) \(\left(x-4\right)^2-\left(x-2\right)\left(x+2\right)=6\)
e) \(9\left(x+1\right)^2-\left(3x-2\right)\left(3x+2\right)=10\)
Mọi người ơi giúp mk vs mai mk phải nộp rùi! Thanks mọi người nhìu nha!
Tính : 4.\(\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\)
Làm tính chia:
a) \(\left(-2x^4+5x^3-x^2+8\right):\left(3x^2-1\right)\)
b) \(\left(5x^4-2x^2+5\right):\left(3x^2+1\right)\)
