tính nhanh 25x4+25x7+25
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25 x 2 + 25 x 3 + 25 x 4 + 25
= 25 x (2 + 3 + 4 + 1)
= 25 x 10
= 250
**** cho mình nhé >_<
25x2+25x3+25x4+25
= 25 × 2 + 25 × 3 + 25 × 4 + 25 × 1
= 25 × ( 2 + 3 + 4 + 1 )
= 25 × 10
= 250
Nếu mình đúng thì các bạn k mình nhé
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Lời giải:
$M=(x^{10}-24x^9)-(x^9-24x^8)+(x^8-24x^7)-(x^7-24x^6)+(x^6-24x^5)-(x^5-24x^4)+(x^4-24x^3)-(x^3-24x^2)+(x^2-24x)-(x-24)+1$
$=x^9(x-24)-x^8(x-24)+x^7(x-24)-.....+x(x-24)-(x-24)+1$
$=(x-24)(x^9-x^8+x^7-...+x-1)+1$
$=0.(x^9-x^8+....+x-1)+1=1$
![](https://rs.olm.vn/images/avt/0.png?1311)
\(M=x^{10}-25x^9+25x^8-25x^7+...-25x^3+25x^2-25x+25\)
Ta thấy : \(x=24\Rightarrow x+1=25\)
\(\Rightarrow M=x^{10}-\left(x+1\right)x^9+\left(x+1\right)x^8-\left(x+1\right)x^7+...-\left(x+1\right)x^3+\left(x+1\right)x^2-\left(x+1\right)x+\left(x+1\right)\)
\(M=x^{10}-x^{10}-x^9+x^9+x^8-x^8-x^7+...-x^4-x^3+x^3+x^2-x^2-x+x+1\)
\(\Rightarrow M=1\)
Vậy \(M=1\left(tạix=24\right)\)
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25 x 4 + 23 x 5 - 21 x 3 +42 x 9 = 100 + 115 - 63 + 378
= 215 - 63 + 378
= 152 + 378
= 530
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Dễ thôi mà
\(\frac{25\times4-0,5\times40\times5\times0,2\times20\times0,25}{1+2+4+8+...+128+256}\)\(=\frac{100-\left(0,5\times20\right)\times\left(40\times0,25\right)\times\left(5\times0,2\right)}{1+2+4+8+...+128+256}\)
\(=\frac{100-10\times10\times1}{1+2+4+8+...+128+256}\)\(=\frac{100-100}{1+2+4+8+...+128+256}\)\(=\frac{0}{1+2+4+8+...+128+256}\)= 0
Chúc e học tốt!
25 x 4 + 25 x 7 + 25
= 25 x 4 + 25 x 7 + 25 x 1
= 25 x (4 + 7 + 1)
= 25 x 12
= 300
25x4+25x7+25
=25x4+25x7+25x1
=25x(4+7+1)
=25x12
=300