tính nhanh : -(214-317)+(-86+23+17)
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(57 x 162) + (37 x 48) - (62 x 46)
= 9234 + 1776 - 2852
= 11008 - 2852
= 8156
\(57\cdot162+37\cdot162-62\cdot48-62\cdot46\)
\(=162\left(57+37\right)-62\left(48+46\right)\)
\(=162\cdot94-62\cdot94\)
\(=94\left(162-62\right)\)
\(=94\cdot100=9400\)
308:5,5=56
18,5:7,4=2,5
8,568:36=0,238
8,16:3=2,72
85:14=7(dư 1)
Câu 3:
a: \(25x-30x^2=5x\left(5-6x\right)\)
b: \(8x\left(x+4y\right)+16\left(x+4y\right)=8\left(x+4y\right)\left(x+2\right)\)
c: \(24x^8y^7-15x^6y^5+18x^6y^3\)
\(=3x^6y^3\left(8x^2y^4-5y^2+6\right)\)
câu 1:
a) 4x( 5x + 9 )
= 4x5x + 4x9
= 20x2+36x
b) (3x - 2) ( x+7 )
= 3xx + 3x7 - 2x - 2 . 7
= 3x2+ 21x - 2x - 14
= 3x2 +19x - 14
c) (2x- 5 )(x2-7x + 4 )
= 2xx2 - 2x7x + 2x4 - 5x2 +5 . 7x - 5.4
= 2x3- 14x2+8x - 5x 2+ 35x - 20
= 2x3+ ( - 14x2- 5x2 )+(8x+35x) - 20
= 2x3 - 9x2 + 43x - 20
Câu 2 :
a) (5x - 3x)2
= (5x)2 - 2.5x3y + (3y)2
= 25x2 - 30xy +9y
b) (2x - 5)(2x + 5)
= (2x)2 - 52
= 4x2 - 25
c) (3x - 7y)3
= ( 3x)3 - 3(3x)27y + 3.3x(7y)2 - (7y)2
= 27x3 - 189x2y + 441xy2- 343y3
d) (x+5)(x2-5x+25)
= (x+5)(x2-5x+52)
= x3+53
= x3+125
Câu 3 :
a) 25x-30x2
= 5.5x-5.6xx
= 5x(5-6x)
b) 8x(x+4y)+16(x+4y)
= (x+4y)(8x+16)
c) 24x8y7 -15x6y5+18x6y3
= 3.8x6x2y3y4-3.5x6y3y2+3.6x6y3
= 3x6y3(8x2y4-5y2+6)
Câu 3:
a: \(25x-30x^2=5x\left(5-6x\right)\)
b: \(8x\left(x+4y\right)+16\left(x+4y\right)=8\left(x+4y\right)\left(x+2\right)\)
\(\dfrac{7}{19}x\dfrac{8}{23}+\dfrac{7}{19}x\dfrac{15}{23}+1\dfrac{7}{19}\)
= \(\dfrac{7}{19}x\left(\dfrac{8}{23}+\dfrac{15}{23}\right)+1+\dfrac{7}{19}\)
=\(\dfrac{7}{19}x1+1+\dfrac{7}{19}\)
= \(\dfrac{7}{19}+1+\dfrac{7}{19}=1\dfrac{14}{19}\) = \(\dfrac{33}{19}\)
\(\dfrac{75}{100}+\dfrac{18}{21}+\dfrac{49}{32}+\dfrac{1}{4}+\dfrac{3}{21}-\dfrac{17}{32}\)
= \(\dfrac{3}{4}+\dfrac{6}{7}+\dfrac{49}{32}+\dfrac{1}{4}+\dfrac{1}{7}-\dfrac{17}{32}\)
= \(\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\left(\dfrac{6}{7}+\dfrac{1}{7}\right)+\left(\dfrac{49}{32}-\dfrac{17}{32}\right)\)
= 1 + 1 + 1 = 3
\(\dfrac{8}{9}x\dfrac{15}{16}x\dfrac{24}{25}x\dfrac{35}{36}x\dfrac{48}{49}x\dfrac{63}{64}\)
= \(\dfrac{3}{4}\) *Câu này bạn tự sử dụng gạch nhé!
`1,`
`a,`
`7/19 \times 8/23 + 7/19 \times 15/23 + 1 7/19`
`= 7/19 \times 8/23 + 7/19 \times 15/23 + 1 + 7/19`
`= 7/19 \times (8/23 + 15/23 + 1) + 1`
`= 7/19 \times 2 + 1`
`=14/19 + 1`
`= 33/19`
`b,`
`75/100 + 18/21 + 49/32 + 1/4 + 3/21 - 17/32`
`= 75/100 + (18/21 + 3/21) + (49/32 - 17/32) + 1/4`
`= 0,75 + 1 + 1 + 0,25`
`= (0,75 + 0,25) + 1 + 1`
`= 1+1+1=3`
`c,`
`8/9 \times 15/16 \times 24/25 \times 35/36 \times 48/49 \times 63/64`
`=` \(\dfrac{2\times3}{3\times3}\times\dfrac{3\times5}{4\times4}\times\dfrac{3\times4\times2}{5\times5}\times\dfrac{5\times7}{6\times6}\times\dfrac{6\times8}{7\times7}\times\dfrac{7\times9}{8\times8}\)
`= 3/4` (bạn sử dụng gạch, rút gọn các số là được nhé).
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