Math, asked by LadyLeopard, 3 months ago

4p ²q -3pq +5p q²_8p + 7q-10
from 18-3p -11q+ 5pq - 2pq² + 5p²q​

Answers

Answered by IntrovertLeo
8

Given:

Two expressions:

4p²q - 3pq + 5pq² - 8p + 7q - 10

18 - 3p - 11q + 5pq - 2pq² + 5p²q​

What To Find:

We have to find the difference between the two expressions.

Solution:

(18 - 3p - 11q + 5pq - 2pq² + 5p²q​) - (4p²q - 3pq + 5pq² - 8p + 7q - 10)

Remove the brackets,

⇒ 18 - 3p - 11q + 5pq - 2pq² + 5p²q - 4p²q + 3pq - 5pq² + 8p - 7q + 10

Rearrange the like terms,

5p²q - 4p²q - 2pq² - 5pq²  + 5pq + 3pq - 3p + 8p - 11q - 7q + 18 + 10

Solve the first term,

⇒ -p²q - 2pq² - 5pq²  + 5pq + 3pq - 3p + 8p - 11q - 7q + 18 + 10

Solve the second term,

⇒ -p²q - 7pq² + 5pq + 3pq - 3p + 8p - 11q - 7q + 18 + 10

Solve the third term,

⇒ -p²q - 7pq² + 8pq - 3p + 8p - 11q - 7q + 18 + 10

Solve the fourth term,

⇒ -p²q - 7pq² + 8pq + 5p - 11q - 7q + 18 + 10

Solve the fifth term,

⇒ -p²q - 7pq² + 8pq + 5p - 18q + 18 + 10

Solve the sixth term,

⇒ -p²q - 7pq² + 8pq + 5p - 18q + 28

∴ Thus, the differnce is  -p²q - 7pq² + 8pq + 5p - 18q + 28.

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