Bài 1 

a, -25 . 63 - 25 . 3

= 25 . (-63) - 25 . 3

= 25 . [(-63) - 3]

= 25 . (-66) = -1650

Bài 2

c, (x + 1)² = 16

=> (x + 1)² = 4²

=> x + 1 = 4 

=> x = 3

d, (-38) - (x - 2) = -16

=> (x - 2) = -38 - (-16) 

=> x - 2 = -38 + 16 = -22

=> x = 2 + (-22) 

=> x = -20

\(16\cdot\left(38-2\right)-38\cdot\left(16-1\right)\)

\(=16\cdot38-16\cdot2-38\cdot16+38\cdot1\)

\(=\left(16\cdot38-38\cdot16\right)-\left(16\cdot2\right)+38.1\)

\(=-32+38=6\)

(dấu chấm là dấu nhân nha e)

 *\(\dfrac{1}{2}\). \(\dfrac{1}{4}\)+\(\dfrac{3}{4}\)

= \(\dfrac{1}{8}\)+\(\dfrac{3}{4}\)

= \(\dfrac{1}{8}\)+\(\dfrac{6}{8}\)= \(\dfrac{7}{8}\)

 *\(\dfrac{3}{4}\).\(\dfrac{5}{6}\).\(\dfrac{8}{15}\)

= \(\left(\dfrac{3}{4}.\dfrac{8}{15}\right)\).\(\dfrac{5}{6}\)

= \(\dfrac{2}{5}\).\(\dfrac{5}{6}\)

= \(\dfrac{1}{3}\)

 *\(\dfrac{12}{19}\): \(\dfrac{17}{38}\).\(\dfrac{16}{9}\)

= \(\dfrac{12}{19}\). \(\dfrac{38}{17}\).\(\dfrac{16}{9}\)= 2,5

1/8+3/4=7/8

5/8x8/15=1/3

24/17x16/9=128/51

1/2x1/4+3/4=7/8

3/4x5/6x8/15=1/3

12/19:17/38x16/9=128/51

1/8+3/4=7/8

5/8x8/15=1/3

24/17x16/9=128/51

Bài 1:

a) −x + 8 = −17

−x = −17 − 8

−x = −25

⇒ x = 25

Vậy x = 25

x = −2

c) x − 45 = −17

x = −17 + 45

x = 28

Vậy x = 28

d) |x + 1| = 20 (>0)

TH₁: x + 1 = 20       TH₂: x + 1 = −20

x = 20 − 1                        x       = −20 − 1

x = 19                              x       = −21

Vậy x∈\(\left\{-21;19\right\}\)

e) |x − 3| − 16 = −4

|x − 3| = −4 + 16

|x − 3| = 12 (>0)

TH₁: x − 3 = 12             TH₂: x − 3 = −12

x = 12+3                                x = −12 + 3

x = 15                                    x = −9

Vậy x∈\(\left\{-9;15\right\}\)

b) 35 − x = 37

x = 35 − 37

x = −2

Vậy x = −2

Bài 2: 

a) (144 − 97) − 144

= 144 − 97 − 144
= (144 − 144) − 97
= − 97

b) (−145) − (18 − 145)

= −145 − 18 + 145

= (−145 + 145) − 18

= −18

c) (27 + 514) − (486 − 73)

= 27 + 514 − 486 + 73

= (27 + 73) + (514 − 486)

= 100 + 28

= 128

d) (38 − 29 + 43) − (43 + 38)

= 38 − 29 + 43 − 43 − 38

= (−38 + 38) + (−43 + 43) − 29

= 0 + 0 − 29

= −29

ĐKXĐ: x<>0 và y<>0

\(\left\{{}\begin{matrix}\dfrac{38}{x}+\dfrac{64}{y}=3\\\dfrac{19}{x}+\dfrac{16}{y}=1\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}\dfrac{38}{x}+\dfrac{64}{y}=3\\\dfrac{38}{x}+\dfrac{32}{y}=2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{32}{y}=1\\\dfrac{19}{x}+\dfrac{16}{y}=1\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}y=32\\\dfrac{19}{x}=1-\dfrac{16}{32}=\dfrac{1}{2}\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}y=32\\x=38\end{matrix}\right.\left(nhận\right)\)

a ) − 1 2 ≤ x < 2 3 = > x = 0. b ) − 1 < x ≤ 1 = > x ∈ {0;1}

\(16.\left(38-2\right)-38.\left(16-1\right)\\ =16.36-38.15\\ =576-570\\ =6\)

=16*38-16*2-38*16+38

=-16*2+38

=38-32=6