1)28.122-28.62+30.144

=28(122-62)+30.144

=28.60+30.144

=30.56+30.144

=30(56+144)

=30.200

=6000

2)52.143-52.39-8.26

=52(143-39)-8.26

=52.104-8.26

=8.676-8.26

=8(676-26)

=8.650

=5200

 Bài 2

a)A\(=\)\(\left(x-3\right)\left(x^2+4\right)-4\left(3-x\right)\)

\(=\left(x-3\right)\left(x^2+4x\right)+4\left(x-3\right)\)

\(=\left(x-3\right)\left(x^2+4x+4\right)\)

\(=\left(x-3\right)\left(x+2\right)^2\)

b)để biểu thức A=0 ⇔ x-3=0 hoặc x+2=0

                                ⇔ x=3  hoặc x=-2 

9x⁴-15x³-6x²+5

=3x²(3x²-5x-2)+5

=3x².0+5

=5

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)

85.12,7+5.3 .12,7                                 

= (85+5.3.)12,7

= 100 . 12,7

=1270

52.143-52.39-8.26

=52 . 143 - 52 . 39 - 4 . 2 . 26 
= 52 . 143 - 52 . 39 - 52 . 4 
= 52 . ( 143 - 39 - 4) 
= 52 . 100 
= 5200

\(9x^4-15x^3-6x^2+5\)

\(=3x^2\left(3x^2-5x\right)-6x^2+5\)

\(=3x^2.2-6x^2+5\)

\(=6x^2-6x^2+5\)

\(=5\)

\(9x^4-15x^3-6x^2+5\)

\(=3x^2\left(3x^2-5x\right)-6x^2+5\)

\(=3x^2.2-6x^2+5\)

\(=6x^2-6x^2+5\)

\(=5\)

6) \(9x^3y^2+3x^2y^2=3x^2y^2\left(3x+1\right)\)

7) \(x^3+2x^2+3x=x\left(x^2+2x+3\right)\)

8) \(6x^2y+4xy^2+2xy=2xy\left(3x+2y+1\right)\)

9) \(5x^2\left(x-2y\right)-15x\left(x-2y\right)=5x\left(x-2y\right)\left(x-3\right)\)

10) \(3\left(x-y\right)-5x\left(y-x\right)=\left(x-y\right)\left(3+5x\right)\)

6) 9x³y² + 3x²y² = 3x²y²( 3x + 1 )

7) x³ + 2x² + 3x = x( x² + 2x + 3 )

8) 6x²y + 4xy² + 2xy = 2xy( 3x + 2y + 1 )

9) 5x²( x - 2y ) - 15x( x - 2y ) = 5x( x - 2y )( x - 3 )

10 3( x - y ) - 5x( y - x ) = 3( x - y ) + 5x( x - y ) = ( x - y )( 3 + 5x )

a, \(9x^3y^2+3x^2y^2=3x^2y^2\left(3x+1\right)\)

b, \(x^3+2x^2+3x=x\left(x^2+2x+3\right)\)

c, \(6x^2y+4xy^2+2xy=2xy\left(3x+2y+1\right)\)

d, \(5x^2\left(x-2y\right)-15x\left(x-2y\right)=\left(5x^2-15x\right)\left(x-2y\right)=5x\left(x-3\right)\left(x-2y\right)\)

e, \(3\left(x-y\right)-5x\left(y-x\right)=3\left(x-y\right)+5x\left(x-y\right)=\left(3+5x\right)\left(x-y\right)\)

Bài 1: 

Ta có: 

\(A=9x^4-15x^3-6x^2+5=3x^2\left(3x^2-5x\right)-6x^2+5=3x^2.2-6x^2+5=6x^2-6x^2+5=5\)

Vậy,  \(A=5\)

Bài 2: Ta có:

\(3^{15}+3^{16}+3^{17}=3^{15}+3^{15}.3+3^{15}.3^2=3^{15}.\left(1+3+3^2\right)=3^{15}.13\)

\(\Rightarrow3^{15}.13\)  chia hết cho  \(13\)

Do đó:  \(3^{15}+3^{16}+3^{17}\)  chia hết cho  \(13\)

52.143 – 52.39 – 8.26

      = 52.143 – 52.39 – 52.4 ( vì 8.26 = 4.2.26 = 4. 52 = 52.4)

      = 52.(143 – 39 – 4)

      = 52.100 = 5200

52.(143-39-4)

=52.100

=5200

\(A=x^3-3x^2+3x-1\\ A=x^3-3x^2.1+3x.1^2-1^3\\ A=\left(x-1\right)^3\)

Thay x=101 vào biểu thức trên ta được kết quả là 100^3= 1000000

Khi x= 101

\(A=x^3-3x^2-3x-1\)

\(\Rightarrow A=101^3-3.101^2-3.101-1\)

\(\Rightarrow A=999394\)

tíc mình nha