Correct

表达 vs 表示

/ biǎodá vs biǎoshì /
Strokes

Formula

1
充分表达了爱国之情 (fully expressing one's patriotism)
2
表示失望 (be disappointed)
3
表示欢迎 (to extend a welcome)

Definition

表达 as a Verb, 表示 as a Verb or Noun, which means [express; expression].

Example

表达 and 表示, both Verbs can means to express in words or action one's thought or feeling. 表达 is more abstract, 表示 is more concrete.
表示 sometimes just means "to say", while 表达 is more indirect.
充分表达了爱国之情 (fully expressing one's patriotism) 表示失望 (be disappointed) 表示欢迎 (to extend a welcome)
1
Zhèxiē
这些
niànpǐn
纪念品
  
,
biǎo
表达
le
shēng
毕业生
duì
xiào
母校
de
gǎn
感激
zhī
qíng
  

These mementoes are manifestation of graduates'gratitude to their school.

2
diǎndiǎntóu
点点头
biǎoshì
表示
tóng
同意
  

He nodded his assent.

Even though 表达 and 表示 both words can use language and written words as the medium, there can still be the difference of being abstract or concrete over what has been expressed.
3
Zhè
běn
huí
回忆录
biǎo
表达
le
zuòzhě
作者
duì
wǎng
往日
de
xiàn
无限
huáiniàn
怀念
  

The reminiscences conveyed the writer's boundless memories of his past.

4
duì
客户
biǎoshì
表示
gǎnxiè
感谢
  

He expressed his gratitude to his clients.

In some rare cases, the two words are interchangeable especially when it is ambiguous whether the case is concrete or abstract.
5
de
xìn
biǎo
表达
  
(
biǎoshì
表示
  
)
le
duì
duìfāng
对方
de
ài
爱慕
zhī
qíng
  

Her letter conveyed her admiration for the man.

表示can also mean that something or some features can indicate the meaning or the sense of some other things, while 表达 has no such meaning.
6
de
chén
沉默
biǎoshì
表示
duì
shì
此事
hái
yǒuxiē
有些
yóu
犹豫
  

His silence indicated his hesitation at the matter.

7
Hóngdēng
红灯
biǎoshì
表示
chēliàng
车辆
jìnzhǐ
禁止
tōngxíng
通行
  

The red traffic light stands for stop.

表示 is also a noun which has nothing in common with 表达.
8
Diǎntóu
点头
bān
一般
shì
tóng
同意
de
biǎoshì
表示
  

Nods normally imply assent.

9
Sòng
rén
礼物
shì
zhǒng
yǒuhǎo
友好
de
biǎoshì
表示
  

To offer presents is an expression of friendship.