tính bằng hai cách
7/8x2/5+7/8x3/5
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a)
\(P=\left(x^{14}-9x^{13}\right)-\left(x^{13}-9x^{12}\right)+\left(x^{12}-9x^{11}\right)-...+\left(x^2-9x\right)-\left(x-9\right)+1\)
\(=x^{13}\left(x-9\right)-x^{12}\left(x-9\right)+x^{11}\left(x-9\right)+...+x\left(x-9\right)-\left(x-9\right)+1\)
\(P\left(9\right)=1\)
b)
\(Q=\left(x^{15}-7x^{14}\right)-\left(x^{14}-7x^{13}\right)+\left(x^{13}-7x^{12}\right)-...-\left(x^2-7x\right)+\left(x-7\right)+2\)
\(=x^{14}\left(x-7\right)-x^{13}\left(x-7\right)+x^{12}\left(x-7\right)-...-x\left(x-7\right)+\left(x-7\right)+2\)
\(Q\left(7\right)=2\)
\(\dfrac{7}{2}\times\dfrac{3}{4}+\dfrac{17}{8}\times\dfrac{2}{3}+\dfrac{3}{4}\times\dfrac{1}{2}+\dfrac{7}{8}\times\dfrac{3}{3}\)
\(=\dfrac{7\times3}{2\times4}+\dfrac{17\times2}{8\times3}+\dfrac{3\times1}{4\times2}+\dfrac{7}{8}\times1\)
\(=\dfrac{21}{8}+\dfrac{17}{12}+\dfrac{3}{8}+\dfrac{7}{8}\)
\(=\left(\dfrac{21}{8}+\dfrac{3}{8}+\dfrac{7}{8}\right)+\dfrac{17}{12}\)
\(=\dfrac{31}{8}+\dfrac{17}{12}\)
\(=\dfrac{31\times3}{8\times3}+\dfrac{17\times2}{12\times2}\)
\(=\dfrac{93}{24}+\dfrac{34}{24}\)
\(=\dfrac{127}{24}\)
35 x 20 x 5 8 x 9 x 125 25 x 7 x 4 72:(8x3)
= 35 x ( 20 x5 ) = ( 8x125) x 9 = (25x4)x7 = 72: 24
= 35 x 100 = 1 000 x 9 = 100x7 = 3
= 3 500 = 9 000 =700
(36x7):4
=36: 4 x 7
= 9 x7
= 63
35 x 20 x 5 = 35\(\times\)(20 \(\times\)5)= 35 \(\times\)100=3500
8 \(\times\)9 \(\times\) 125 =(8\(\times\) 125)\(\times\)9=1000\(\times\)9=9000
25 \(\times\)7\(\times\)4=(25 \(\times\)4)\(\times\)7=100\(\times\)7=700
72 : (8\(\times\)3)=72 : 8 x 3 =(72:8) x 3=9 x 3=27
(36 x 7) : 4 =36 x 7 : 4 =7 x (36 :4)=7 x 9=63
a)1+2+3+4+5+6+7+8+9
=(1+9)+(2+8)+(3+7)+(4+6)+5
=10+10+10+10+5
=10x4+5=45
b)8x3+8x7
=8x(3+7)
=8x10=80
c)8x172-8x72
=8x(172-72)
=8x100=800
a. 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 +9
= (1 + 9) + (2 + 8) + (3 + 7) + ( 4 + 6) + 5
= 10 + 10 + 10 + 10 + 5
= 45
a) Cách 1 : (3/4 + 1/2) x 5/7
= 5/4 x 5/7
= 25/28
Cách 2 : (3/4 + 1/2) x 5/7
= 3/4 x 5/7 + 1/2 x 5/7
= 15/28 + 5/14
= 25/28
b) Cách 1 : 5/7 x 13/21 + 2/7 x 13/21
= 65/147 + 26/147
= 13/21
Cách 2 : 5/7 x 13/21 + 2/7 x 13/21
= (5/7 + 2/7) x 13/21
= 1 x 13/21
= 13/21
câu c tự làm
ta có: 8=7+1=x+1
\(B=x^{15}-8x^{14}+8x^{13}-...-8x^2+8x-5\)
\(\Rightarrow B=x^{15}-\left(x+1\right)x^{14}+\left(x+1\right)x^{13}-...-\left(x+1\right)x^2+\left(x+1\right)x-5\)
\(\Rightarrow B=x^{15}-x^{15}-x^{14}+x^{14}+x^{13}-...-x^3-x^2+x^2+x-5\)
\(\Rightarrow B=x-5\)
\(\Rightarrow B=7-5\)
\(\Rightarrow B=2\)
B = x15 - 8x14 + 8x13 - 8x2 + ... - 8x2 + 8x - 5
B = x^15 - 7x^14 -x^14+7x^13+x^13-7x^12-...-x^2+7x+x-5
B = x^14(x-7) - x^14(x-7) +...+x^2(x-7)-x(x-7)+x-5
B = 7-5=2
Tham khảo cách này nhoá~
Cách 1 : ( 7/5 x2 ) + ( 4/3 x 2 )
= 14/5 + 8/3
= 82/15
Cách 2 : ( 7/5 +4/3) x 2
= 41/15 x 2
= 82/15
Cách 1: \(\dfrac{7}{8}\times\dfrac{2}{5}+\dfrac{7}{8}\times\dfrac{3}{5}\)
\(=\dfrac{14}{20}+\dfrac{21}{40}=\dfrac{35}{40}=\dfrac{7}{8}\)
Cách 2: \(\dfrac{7}{8}\times\dfrac{2}{5}+\dfrac{7}{8}\times\dfrac{3}{5}\)
\(=\dfrac{7}{8}\times\left(\dfrac{2}{5}+\dfrac{3}{5}\right)=\dfrac{7}{8}\times\dfrac{5}{5}=\dfrac{7}{8}\)
C1. \(\dfrac{7}{20}+\dfrac{21}{20}\) = \(\dfrac{7}{8}\)
C2. \(\dfrac{7}{8}\times\left(\dfrac{2}{5}+\dfrac{3}{5}\right)\) = \(\dfrac{7}{8}\)