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![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(13,5\times5,8-8,3\times4,2-5,8\times8,3+4,2\times13,5\)
\(=13,5\times\left(5,8+4,2\right)-8,3\times\left(4,2+5,8\right)\)
\(=10\times\left(13,5-8,3\right)=10\times5,2=52\)
b) \(7,8\times55,1+92,2\times55,1-7,8\times5,1-92,2\times5,1\)
\(=55,1\times\left(7,8+99,2\right)-5,1\times\left(7,8+99,2\right)\)
\(=100\times\left(55,1-5,1\right)=100\times50=5000\)
c) \(N=a^3-a^2b-ab^2+b^3=\left(a-b\right)^2\left(a+b\right)\)
\(=\left(5,75-4,25\right)^2.\left(5,75+4,25\right)=1,5^2\times10=22,5\)
tính nhanh
85.12,7+5.3.12,7
52.143-52.39-8.26
phân tích thành nhân tử
5X-20Y
5x(x-1)-3x(x-1)
x(x+y)-5x-5y
![](https://rs.olm.vn/images/avt/0.png?1311)
tính nhanh .
a) 85 .12,7 + 5.3.12,7 = 12,7 . ( 85 + 5.3 ) = 12,7 . (85+15) = 12,7 . 100 = 1270
b) 52.143 - 52.39 - 8.26 = 52.143 - 52.39 - 4.2.26 = 52.143 - 52.39 - 4.52 = 52.( 143 -39 - 4 ) = 52 . 100 = 5200
phân tích :
5x - 20y = 5 .(x - 4y)
5x(x-1)-3x.(x-1) = (x-1).(5x-3x) = 2x(x-1) hoặc 5x(x-1)-3x(x-1) = x(x-1)(5-3) = 2x(x-1)
x.(x+y)-5x-5y = x(x+y) - 5 (x+y) = (x+y)(x-5)
![](https://rs.olm.vn/images/avt/0.png?1311)
13.5 x 5.8 - 8.3 x 4.2 - 5.8 x 8.3 + 4.2 x 13.5
= ( 13.5 x 5.8 + 4.2 x 13.5 ) - ( 8.3 x 4.2 + 5.8 x 8.3 )
= 13.5 x ( 5.8 + 4.2 ) - 8.3 x ( 4.2 + 5.8 )
= 13.5 x 10 - 8.3 x 10
= ( 13.5 - 8.3 ) x 10
= 5.2 x 10
= 52
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 85.12,7+5,3.12,7
=12,7(85+5,3)=1146,81
b) 52.143-52.39-8.26
=52.(143-39)-208
= 5200
=
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\Leftrightarrow30x^2-72x+55x-132-42x+66=0\\ \Leftrightarrow30x^2-59x-66=0\\ \Delta=3481-4\cdot\left(-66\right)\cdot30=11401\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{59-\sqrt{11401}}{60}\\x=\dfrac{59+\sqrt{11401}}{60}\end{matrix}\right.\)
a, 36.28+36.82 +64.69+64.41
=36(28+82)+64(69+41)
=36.110+64.110
=110(36+64)
=110.100
=11000