\(\text{Xét công thức tổng quát }:x^4+\frac{1}{4}=\left(x^4+2.x^2.\frac{1}{2}+\frac{1}{4}\right)-x^2\)

\(=\left(x^2+\frac{1}{2}\right)^2-x^2=\left(x^2-x+\frac{1}{2}\right)\left(x^2+x+\frac{1}{2}\right)\)

Áp dụng vào B ta đc:

\(B=\frac{\left(1^4+\frac{1}{4}\right)\left(3^4+\frac{1}{4}\right)...\left(11^4+\frac{1}{4}\right)}{\left(2^4+\frac{1}{4}\right)\left(4^4+\frac{1}{4}\right)...\left(12^4+\frac{1}{4}\right)}\)

\(=\frac{\left(1^2-1+\frac{1}{2}\right)\left(1^2+1+\frac{1}{2}\right)\left(3^2-3+\frac{1}{2}\right)\left(3^2+3+\frac{1}{2}\right)...\left(11^2-11+\frac{1}{2}\right)\left(11^2+11+\frac{1}{2}\right)}{\left(2^2-2+\frac{1}{2}\right)\left(2^2+2+\frac{1}{2}\right)\left(4^2-4+\frac{1}{2}\right)\left(4^2+4+\frac{1}{2}\right)...\left(12^2-12+\frac{1}{2}\right)\left(12^2+12+\frac{1}{2}\right)}\)

\(=\frac{\frac{1}{2}\left(2+\frac{1}{2}\right)\left(6+\frac{1}{2}\right)\left(12+\frac{1}{2}\right)...\left(110+\frac{1}{2}\right)\left(122+\frac{1}{2}\right)}{\left(2+\frac{1}{2}\right)\left(6+\frac{1}{2}\right)\left(12+\frac{1}{2}\right)\left(20+\frac{1}{2}\right)...\left(132+\frac{1}{2}\right)\left(156+\frac{1}{2}\right)}\)

\(=\frac{\frac{1}{2}\left(122+\frac{1}{2}\right)}{\left(132+\frac{1}{2}\right)\left(156+\frac{1}{2}\right)}=\frac{49}{16589}\)

ko biết có đúng ko!! hình như còn 1 cách là nhân 1 đa thức với 16 nữa thì phải lâu ko động đến bạn thử xem đc ko nhé

a) 2,5 : 0,25 = 2,5 x 4

b) 12,4 : 0,25 = 12,4 x 4

c) 0,36 x 4 > 0,36 x 0,5

d) 0,25 x 4 > 0,25 x 0,25

   Học tốt nhé ~!!!!!!

x : 0,25 + x x 0,25 = 3,4

x : 25/100 + x x 0,25 = 3,4

x x 4 + x x 0,25 = 3,4

x x (4 + 0,25 ) = 3,4

x x 4,25 = 3,4 

x = 3,4 : 4,25

\(a,2,3:0,25+7,7.4\\ =2,3.4+7,7.4\\ =\left(2,3+7,7\right).4=10.4=40\\ b,4,2.8+5,8:0,125\\ =4,2.8+5,8.8\\ =\left(4,2+5,8\right).8=10.8=80\\ c,3,4.4+5,6:0,25+4\\ =3,4.4+5,6.4+4\\ =\left(3,4+5,6+1\right).4=10.4=40\\ d,4:0,2+12:0,5+1,2:0,25\\ =4.5+12.2+1,2.4\\ 4.5+6.4+1,2.4\\ =4\left(5+6+1,2\right)\\ =4.12,2=48,8\)

❤

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Mình xin lỗi câu này mình ko biết

= 12,5 x 4 + 36,4 x 4 - 18,9 x 4

= 4 x (12,5 + 36,4 - 18,9)

= 4 x 30

= 120

`12,5:0,25+36,4:0,25-18,9xx4`

`=12,5xx4+36,4xx4-18,9xx4`

`=(12,5+36,4-18,9)xx4`

`=30xx4=120`

120

a) 0,25x3/4-0,25x0,25+0,25x1/2

=0,25x(3/4-0,25+1/2)

=0,25x1

=0,25

b) 5,68x8+56,8x0,1+56,8:10

=5,68x8+5,68+5,68

=5,68x(8+1+1)

=5,68x10

=56,8

a) 0,25x3/4-0,25x0,25+0,25x1/2

=0,25x(3/4-0,25+1/2)

=0,25x1

=0,25

b) 5,68x8+56,8x0,1+56,8:10

=5,68x8+5,68+5,68

=5,68x(8+1+1)

=5,68x10

a) S

b) S

c) Đ

d) S