Nhớ ghi dấu ngoặc tránh giải sai. 

\(a.\)  \(\frac{x+4}{2x+6}+\frac{3}{x^2-9}\)

Ta có: 

\(2x+6=2\left(x+3\right)\)

\(x^2-9=\left(x-3\right)\left(x+3\right)\)

nên \(MTC:\)  \(2\left(x-3\right)\left(x+3\right)\)

Do đó:  \(\frac{x+4}{2x+6}+\frac{3}{x^2-9}=\frac{x+4}{2\left(x+3\right)}+\frac{3}{\left(x-3\right)\left(x+3\right)}=\frac{\left(x+4\right)\left(x-3\right)}{2\left(x-3\right)\left(x+3\right)}+\frac{2.3}{2\left(x-3\right)\left(x+3\right)}=\frac{x^2+x-12+6}{2\left(x-3\right)\left(x+3\right)}\)

\(=\frac{x^2+x-6}{2\left(x-3\right)\left(x+3\right)}=\frac{x^2-2x+3x-6}{2\left(x-3\right)\left(x+3\right)}=\frac{x\left(x-2\right)+3\left(x-2\right)}{2\left(x-3\right)\left(x+3\right)}=\frac{\left(x-2\right)\left(x+3\right)}{2\left(x-3\right)\left(x+3\right)}=\frac{x-2}{2\left(x-3\right)}\)

tick mình đi mình giải cho nha

2+2^2+2^3+2^5+2^6+2^7+2^9+2^10+2^11 nha bạn

(1-2)+(3-4)+...+(2011-2012).........(có (2012-1+1):2=1006 cặp số)

=-1+-1+-1+.......+-1

=-1.1006=-1006

tick nha

\(x=\frac{1}{2}x+\frac{1}{4}x+\frac{1}{7}x+3\)

\(\Rightarrow x=x\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{7}\right)+3\)

\(\Rightarrow x=\frac{25}{28}x+3\Rightarrow x-\frac{25}{28}x=3\Rightarrow x\left(1-\frac{25}{28}\right)=3\Rightarrow x.\frac{3}{28}=3\Rightarrow x=28\)

Vậy x = 28

Đặt x làm nhân tử chung : x(1/2+1/4+1/7)+3=x

                Qui đồng cái tổng đấy chuyển vế là ra 

\(\frac{1}{2}x+\frac{1}{4}x+\frac{1}{7}x+3=x\)

<=>x(1/2+1/4+1/7)+3=x

<=>x(14/28+7/28+4/28)+3=x

<=>x28/28(14/28+7/28+4/28)+84/28=x.28/28

=>x.28(14+7+4)+84=x.28

<=>x.28.25+84=x.28

<=>

2P = 24.(5^2 + 1 )( 5^4 + 1 ) (5^8 +  1 )(5^16 + 1 )

2P = ( 5^2 - 1 )((5^2  + 1 )( 5^4 + 1 ) (5^ 8 + 1 )( 5^ 16 + 1)

2P = ( 5 ^ 4 - 1 )( 5 ^ 4 + 1 ) (5^8 + 1 )(5^16 + 1 )

2P = ( 5 ^8 - 1 )( 5^8 + 1 )( 5^16 + 1)

2P = ( 5 ^16 - 1 )( 5^16 + 1 )

2P = 5^32 - 1 

=> P = \(\frac{5^{32}-1}{2}\)

Mk bik câu B nè!

2B = 2/3.5 + 2/5.7 + 2/7.9 +.......+2/97.99

2B = 1/3 - 1/5 + 1/5 - 1/7 +.......+ 1/97 - 1/99

2B = 1/3 - 1/99

2B = 32/99

=> B = 16/99 

Bạn có chắc là đúng ko vậy

bài A sai đề rồi bạn coi lại đi

B=1/3.5+1/5.7+1/7.9+...........+1/97.99

B=1.2/2.3.5+1.2/2.5.7+1.2/2.7.9+...+1.2/2.97.99

B=1/2.2/3.5+1/2.2/5.7+1/2.2/7.9+...+1/2.2/97.99

B=1/2(1/3.5+1/5.7+1/7.9+...+1/97.99)

B=1/2(1/3-1/5+1/5-1/7+1/7-1/9+...+1/97-1/99)    (dùng phương pháp khử)

B=1/2(1/3-1/99)

B=1/2.32/99

B=16/99

=> 4x^2  - 12x + 4 = 2x^2 - 2x - 2 - 2x^2 - 2x - 13

=> 4x^2 - 12x + 4 = - 4x - 15

=> 4x^2 - 12x + 4x + 4 + 15 = 0 

=> 4x^2 - 8x + 19 = 0

Đề sai