\(y=\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
\(y=\frac{2^{12}.3^{10}+2^9.3^9.120}{2^{12}.3^{12}+2^{11}.3^{11}}\)
\(y=\frac{2^9.3^9\left(2^3.3+120\right)}{2^{11}.3^{11}\left(2.3+1\right)}\)
\(y=\frac{6^9\left(2^3.3+120\right)}{6^{11}.7}\)
\(y=\frac{2^3.3+120}{6^2.7}\)
\(y=\frac{144}{252}\)
\(y=\frac{4}{7}\)
\(\frac{2}{x+2}-\frac{2x^2+16}{x^3+8}=\frac{5}{x^2-2x+4}\)
\(\frac{1}{x-2}-\frac{6}{x+3}=\frac{5}{6-x^2-x}\)
\(\frac{8}{x-8}+\frac{11}{x-11}=\frac{9}{x-9}+\frac{10}{x-10}\)
Bài 1: Phân tích đa thức sau thành nhân tử
1) 
2) 
3) 
4) 
5) 
6) 
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
a. ) x-22/8 + x-21/9 + x-20/10 + x-19/11 =4
b -x+12/7 + -x+13/6 = -x+15/4 + -x+16/3
7)(16-8x)(2-6x)=0
8) (x+4)(6x-12)=0
9) (11-33x)(x+11)=0
10) (x-1/4)(x+5/6)=0
11) (7/8-2x)(3x+1/3)=0
12)3x-2x^2=0
Tính : \(\frac{\left(1^4+\frac{1}{4}\right)\left(3^4+\frac{1}{4}\right)\left(5^4+\frac{1}{4}\right)\left(7^4+\frac{1}{4}\right)\left(9^4+\frac{1}{4}\right)\left(11^4+\frac{1}{4}\right)}{\left(2^4+\frac{1}{4}\right)\left(4^4+\frac{1}{4}\right)\left(6^4+\frac{1}{4}\right)\left(8^4+\frac{1}{4}\right)\left(10^4+\frac{1}{4}\right)\left(12^4+\frac{1}{4}\right)}\)
1. Phân tích đa thức thành nhân tử
1) y^2-13y+12
2) y^2-13y+12
3) x^2-x-30
4) y^2+y-42
5) x^2+3x-10
6)x^2-8x+15
7) 2x^2-y^2+xy
8) x^2+x-6
9) y^2-y-12
11) x^2+3x+2
12) x^2-3xy+2y^2
13) x^2-5x+6
14) x^4+x^2+2x
15) x^4+4
16) x^4+x^2+1
17) x^2+x-2
Rút gọn biểu thức:
a) \(\frac{3^7.5^4}{25^2}\)
b) \(\frac{2^4.2^6.3^8.9^2}{4^4.3^{11}}\)
c) \(\frac{3.9^4-9^3}{3^3.9}\)
Tính:a) \(\frac{4^6\times9^5+6^9\times120}{8^4\times3^{12}-6^{11}}\)
Phân tích các đa thức sau thành nhân tử:
1) x3 - 7x + 6
2) x3 - 9x2 + 6x + 16
3) x3 - 6x2 - x + 30
4) 2x3 - x2 + 5x + 3
5) 27x3 - 27x2 + 18x - 4
6) x2 + 2xy + y2 - x - y - 12
7) (x + 2)(x +3)(x + 4)(x + 5) - 24
8) 4x4 - 32x2 + 1
9) 3(x4 + x2 + 1) - (x2 + x + 1)2
10) 64x4 + y4
11) a6 + a4 + a2b2 + b4 - b6
12) x3 + 3xy + y3 - 1
13) 4x4 + 4x3 + 5x2 + 2x + 1
14) x8 + x + 1
15) x8 + 3x4 + 4
16) 3x2 + 22xy + 11x + 37y + 7y2 +10
17) x4 - 8x + 63
