c: \(=\dfrac{x^3+2x+2x^2+2x+x^2-x+1}{\left(x+1\right)\left(x^2-x+1\right)}\)

\(=\dfrac{x^3+3x^2+3x+1}{\left(x+1\right)\left(x^2-x+1\right)}=\dfrac{x^2+2x+1}{x^2-x+1}\)

1:=x^3-27-x^2-3=x^3-x^2-30

2: =x-2+125x^3+150x^2+60x+8

=125x^3+150x^2+61x+6

3: \(=2xy-5y+5y=2xy\)

4: =25x-10x^2+15x

=-10x^2+40x

   ( 5/6 - 2/3 + 1/4 ) : 5/4

= ( 1/6 + 1/4 ) : 5/4

= 5/12 : 5/4

= 1/3

nhớ k cho mình nha ! 

Lời giải:

a.

$2x(3x^2-4x+2)=2x.3x^2-2x.4x+2x.2$

$=6x^3-8x^2+4x$

b.

$2x(3x+5)-3(2x^2-2x+3)=2x.3x+2x.5-(3.2x^2-3.2x+3.3)$

$=6x^2+10x-6x^2+6x-9=16x-9$

\(A=\left(2^5\cdot2^7\right):2^{10}+5\cdot3^4-6^3:6\\ =2^{12}:2^{10}+5\cdot3^4-6^2\\ =2^2+5\cdot3^4-36\\ =4+405-36\\ =373\\ B=\left(5^2-3\right):11\\ =\left(25-3\right):11\\ =22:11\\ =2\\ C=\left(5^{2022}-5^{2021}\right):5^{2021}\\ =5^{2021}\cdot\left(5-1\right):5^{2021}\\ =4\\ D=\left(7^{20}-7^{19}\right):7^{19}\\ =7^{19}\cdot\left(7-1\right):7^{19}\\ =6\)

đợi tí

a) 373

b) 2

c) 4

d) 6

a) \(3.5^2-16:2^2\)

\(=3.25-16.4\)

\(=75-64\)

\(=11\)

b) \(17.85+15.17-120\)

\(=17.\left(85+15\right)-120\)

\(=17.100-120\)

\(=1700-120\)

\(=1580\)

c) \(\left(3^{15}.4+5.3^{15}\right):3^{16}\)

\(=\left[3^{15}.\left(4+5\right)\right]:3^{16}\)

\(=\left[3^{15}.9\right]:3^{16}\)

\(=\left[3^{15}.3^2\right]:3^{16}\)

\(=3^{17}:3^{16}\)

\(=3\)

a. 3.5² - 2⁴ : 2² = 3.5²- 2² = 3.25-4= 75-4 =71

b. 17.(85+15) - 120 = 17.100-120=1700-120=1580

c. |3¹⁵.(4+5)| :3¹⁶= (3¹⁵.9) : 3¹⁶= 3¹⁵.3² : 3¹⁶= 3¹⁷:3¹⁶=3

dấu | là ngoặc vuông bn nhé

a, 3.5^2-16:2^2

=3.25-16:4

=75-4

=71

b, 17.85+15.17-120

=17.(85+15)-120

=17.100-120

=1700-120

=1580

c, (3^15.4+5.3^15):3^16

=[3^15.(4+5)]:3^16

=(3^15.9):3^16

=(3^15.3^2):3^16

=3^17:3^16

=3^1

=3

93312

\(\dfrac{2}{67}-\left(\dfrac{3}{7}+\dfrac{2}{67}\right)\\ =\dfrac{2}{67}-\dfrac{215}{469}\\ =\dfrac{-3}{7}\)

\(\dfrac{3}{4}.\dfrac{5}{2}+\dfrac{5}{4}.\dfrac{5}{2}\\ =\left(\dfrac{3}{4}+\dfrac{5}{4}\right).\dfrac{5}{2}\\ =2.\dfrac{5}{2}\\ =\dfrac{5}{1}\)