a, \(108^2-92^2=\left(108-92\right)\left(108+92\right)=16.200=3200\)

c, \(31^2-31.22+11^2=31^2-2.31.11+11^2=\left(31-11\right)^2=20^2=400\)

a: \(108^2-92^2=3200\)

b: \(102^2+128\cdot26-27^2=9675+3328=13003\)

c: \(31^2-31\cdot22+11^2=20^2=400\)

a) (−27). 1011 − 27. (−12) + 27. (−1)

= (-27). (1011 - 12 + 1)

= (-27). 1000 = -27 000

b) (−9). (−9). (−9) + 103 + 9.3

= (-9). 3 + 103 + 9.3

= 9.3 - 9.3 + 103

= 0 + 103 = 103

c) (−157). (127 − 316) − 127. (316 − 157)

= (-157). 127 - 316. (-157) - 127.316 - 127. (-157)

= (-157). 127 + 316. 157 - 127. 316 + 127.157

= (127.157 - 157.127) + (316. 157 - 127.316)

= 0 + (157 - 127). 316

= 0 + 30. 316

= 9480

a) (-27).1011-27.(-12)+27.(-1)

= -27.1011 +27.12+27.(-1)
= 27.(-1011)+27.12+27.(-1)

= 27.(-1011+12-1)

= 27.(-1000)

=-27000

c) (-157)(127-316)-127(316-157)

= (-157).127+157.316-127.316+127.127

= 316.(157-127)

= 316.30

= 9480

127.(27 - 56) - 27.(127 - 56)

= 127.27 - 127.56 - 27.127 + 27.56

= (127.27 - 27.127) - (127.56 - 27.56)

= 0 - 56(127 - 27)

= 0 - 56.100

= 0 - 5600

= -5600

127.(27-56)- 27 . (127 - 56)

\(=\left(127-127\right)\cdot\left(27-27\right)\cdot\left(56-56\right)\)

\(=0\cdot0\cdot0\)

\(=0\)

(-127) x 73+(-127) x 27

=(-127) . (73+27)

=(-127).100

=-12700

\(a,-3.7+3.17\\ =3.\left(-7\right)+3.17\\ =3.\left(-7+17\right)\\ =3.10\\ =30\\ b,\left(-21\right).\left(-60\right)-21.40\\ =21.60-21.40\\ =21.\left(60-40\right)\\ =21.20\\ =420\\ c,20.\left(-60\right)-20.\left(-40\right)-100.20\\ =20.\left[-60-\left(-40\right)-100\right]\\=20.\left(-120\right)\\ =-2400\\ d,21.\left[\left(-27\right)+50+127\right]\\ =21.\left(100+50\right)\\ =21.150\\ =3150\)

1)  -3.7+3.17= 30

2)  (-21).(-60)-21.40=420

3)  20.(-60)-20(-40)-100.20=(-2400)

4)  3150

⇔127-(2x+9)³=2

⇔(2x+9)³=125

⇔(2x+9)³=5³

⇒2x+9=5

⇔2x=-4

⇔x=-2 

Vậy x=-2

Cách 1 :

\(127.(-89)+89.27\)

\(= (-127).89+89.27\)

\(= 89.[(-127)+27]\)

\(=89.\left(-100\right)=-8900\)

Cách 2 :

\(127.(-89)+89.27\)

\(=-11303+2403=-8900\)

127 . ( - 89 ) + 89 . 27

= 127 . [( - 89 ) + 89 ] . 27

= 127 . 0 . 27

= 0 . 27

= 0

a) 27 x (-17) + 17 x 127

= 27 x (-17) - 17 x (-127)

= -17 x (27-127)

= -17 x -100 = 1700

b) 2 x (1 +32) - 2 x 32

= 2 x (1 + 32 - 32)

= 2 x 1 = 2