37,5 . 8,5 - 7,5 x 3,4 - 6,6 . 7,5 + 1,5 .37.5
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a)\(37.x6.5-7.5x3.4-6.6x7.5+3.5x37.5\)
=\(7.5x5x6.5-7.5x3.4-6.6x7.5+3.5x7.5x5\)
=\(7.5x\left(5x6.5-3.4-6.6+3.5x5\right)\)
=\(7.5x\left(2x6.5-10\right)\)
=\(7.5x\left(13-10\right)\)
=\(7.5x3\)
=\(22.5\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 37,5 . 6,5 – 7,5 . 3,4 – 6,6 . 7,5 + 3,5 . 37,5
= (37,5 . 6,5 + 3,5 . 37,5) - (7,5 . 3,4 + 6,6 . 7,5)
= 37,5(6,5 + 3,5) - 7,5(3,4 + 6,6)
= 37,5 . 10 - 7,5 . 10
= 375 - 75 = 300.
b) 452 + 402 – 152 + 80 . 45 = 452 +2 . 40 . 45 + 402 – 152
= (40 + 45)2 – 152 = 852 – 152 = (85 – 15)(85 + 15) = 70 . 100 = 7000.
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\(a,x^2-xy+9x-9y\)
\(=x\left(x-y\right)+9\left(x-y\right)\)
\(=\left(x+9\right)\left(x-y\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1) 37,5.6,5-7,5.3,4-6,6.7,5+3,5.37,5
=(37,5.6,5+3,5.37,5) - (7,5.3,4+6,6.7,5)
=37,5.(6,5+3,5) - 7,5.(3,4+6,6)
=37,5.10-7,5.10
=10.(37,5-7,5)
=10.30
=300
2)-39.121+125+39.21
=-39.21-39.100+125+39.21
=(-39.21+39.21)+(125-39.100)
=0+125-3900
=-3775
3)35.17 - 65.34
=35.17-65.2.17
=35.17-130.17
=17.(35-130)
=17.(-95)
=-1615
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Bài 3:
b: \(x^2+2x+1=\left(x+1\right)^2\)
c: \(x^2-16=\left(x-4\right)\left(x+4\right)\)
d: \(\left(2x-1\right)^2-\left(x+3\right)^2\)
\(=\left(2x-1-x-3\right)\left(2x-1+x+3\right)\)
\(=\left(x-4\right)\left(3x+2\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x\(^2\)- xy + 9x -9y = x( x + 9 ) - y ( x + 9 ) = (x - y ) ( x + 9 )
b) x\(^2\)- 2xy - 5x + 10y = x ( x - 5 ) - 2y ( x - 5 ) = ( x - 2y ) ( x - 5 )
d) x\(^2\)+ 4x - y\(^2\)+ 4y = x\(^2\) - y\(^2\) + 4 ( x + y ) = ( x+ y ) ( x- y ) + 4 ( x+ y )
= (x+ y ) ( x - y + 4 )
![](https://rs.olm.vn/images/avt/0.png?1311)
So cap co tat ca la: (8,5+1,5)/2=4 cap
Ta co:
(1,5+8,5)+(2,5+7,5)+(3,5+6,5)+(4,5+5,5)
=10+10+10+10=40
\(37,5.8,5-7,5.3,4-6,6.7,5+1,5.37,5\)
\(=(37,5.8,5+1,5.37,5)-(7,5.3,4+6,6.7,5)\)
\(=37,5.\left(8,5+1,5\right)-7,5\left(3,4+6,6\right)\)
\(=37,5.10-7,5.10=10.\left(37,5-7,5\right)=10.30=300\)
= (37,5.8,5 + 15 . 37,5 )-(7,5 . 3.4 + 6,6 .7,5)
= 37,5(8,5 + 15) - 7,5 (3,4 +6,6 )
=881,25 - 75 = 806,25