Question

4p2-20pq+25q2 give answerquestions​

Answer 1

Answer:

4p²-20pq+25q²

=(2p)²-2.2p.5q+(5q)²

=(2p-5q)²

Answer 2

The factors of 4p² - 20pq + 25q²  are (2p-5q) (2p-5q)

Given:

4p² - 20pq + 25q²  

To find:

Factoring the equation

Solution:

Given 4p² - 20pq + 25q²  

As we know

2² = 4 ⇒  4p² = (2p)²  

5² = 25 ⇒ 25q² = (5q)²  

20 = (2×2×5) ⇒ 20pq = 2(2p)(5q)

4p² - 20pq + 25q²  

⇒ (2p)²- 2(2p)(5q) + (5q)²    

As we know from algebraic identities  

                 (a-b)² = a² +b² -2ab  

Take a = 2p and  b = 5q and apply the formula

⇒ (2p - 5q)²

= (2p-5q) (2p-5q)

Therefore,

The factors of 4p² - 20pq + 25q²  are (2p-5q) (2p-5q)

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