rút gọn ps 2525/2626 giúp mình với ạ
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1414/2525=1414:101
2525/101 =14/25
235235/678678=235235:1001
678678:1001 =235/678
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\(B=9x^4-\left(2x+1\right)^2-\left(9x^4+6x^2+1\right)\\ =9x^4-4x^2-4x-1-9x^4-6x^2-1\\ =-10x^2-4x-2\)
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1111 + 1212 + 1313 + 1414
= 11 x 101 + 12 x 101 + 13 x 101 + 14 x 101
=( 11 + 12 +13 +14 ) x 101
=50 x 101
= 5050
2222 + 2323 +2424 +2525
= 22 x 101 + 23 x 101 + 24 x 101 + 25 x 101
= ( 22 +23 + 24 + 25 ) x 101
=94 x 101
= 9494
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Trả lời :
\(\frac{2525}{5353}\)= \(\frac{25.101}{53.101}\)= \(\frac{25}{53}\)
\(\frac{373737}{414141}\)= \(\frac{37.10101}{41.10101}\)= \(\frac{37}{41}\)
\(\frac{2525}{5353}=\frac{25.101}{53.101}=\frac{25}{53}\)( gạch 101 nhé )
\(\frac{373737}{414141}=\frac{37.10101}{41.10101}=\frac{37}{41}\)( tương tự )
hc tốt
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\(\dfrac{2sin8a-sin16a}{2sin8a+sin16a}=\dfrac{2sin8a-2sin8a.cos8a}{2sin8a+2sin8a.cos8a}=\dfrac{2sin8a\left(1-cos8a\right)}{2sin8a\left(1+cos8a\right)}=\dfrac{1-cos8a}{1+cos8a}=\dfrac{1-\left(1-2sin^24a\right)}{1+\left(1-2sin^24a\right)}=\dfrac{2sin^24a}{2-2sin^24a}=\dfrac{sin^24a}{1-sin^24a}=\dfrac{sin^24a}{cot^24a}=tan^24a\)
\(=\dfrac{2sin8a-2sin8a.cos8a}{2sin8a+2sin8a.cos8a}=\dfrac{2sin8a\left(1-cos8a\right)}{2sin8a\left(1+cos8a\right)}=\dfrac{1-cos8a}{1+cos8a}\)
\(=\dfrac{1-\left(1-2sin^24a\right)}{1+\left(2cos^24a-1\right)}=\dfrac{2sin^24a}{2cos^24a}=tan^24a\)
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\(A=\left(\dfrac{2-x}{2+x}-\dfrac{16}{4-x^2}-\dfrac{2+x}{2-x}\right)\)
\(\Rightarrow A=\left(\dfrac{\left(2-x\right)^2}{\left(2+x\right)\left(2-x\right)}-\dfrac{16}{\left(2+x\right)\left(2-x\right)}-\dfrac{\left(2+x\right)^2}{\left(2+x\right)\left(2-x\right)}\right)\)\(\Rightarrow A=\left(\dfrac{4-4x+x^2}{\left(2+x\right)\left(2-x\right)}-\dfrac{16}{\left(2+x\right)\left(2-x\right)}-\dfrac{4+4x+x^2}{\left(2+x\right)\left(2-x\right)}\right)\)
\(\Rightarrow A=\dfrac{4-4x+x^2-16-4-4x-x^2}{\left(2+x\right)\left(2-x\right)}\)
\(\Rightarrow A=\dfrac{-8x-16}{\left(2+x\right)\left(2-x\right)}\)
\(\Rightarrow A=\dfrac{-8\left(x+2\right)}{\left(2+x\right)\left(2-x\right)}\)
\(\Rightarrow A=\dfrac{-8}{2-x}\)
\(\Rightarrow A=\dfrac{8}{x-2}\)
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\(\frac{25}{26}=\frac{2525}{2626}=\frac{252525}{262626}=\frac{25252525}{26262626}\)
Ta có:
2525/2626 = 25 × 101/26 × 101 = 25/26
252525/262626 = 25 × 10101/26 × 10101 = 25/26
25252525/26262626 = 25 × 1010101/26 × 1010101 = 25/26
Chứng tỏ các phân số trên đều = nhau
\(\dfrac{2525}{2626}=\dfrac{25}{26}\)