Question

Factorise :- 25p² - 20p - 4​

Answer 1

Step-by-step explanation:

Factorise :-

(5p)2−20p+4(5p)2-20p+4

Rewrite 44 as 2222.

(5p)2−20p+22(5p)2-20p+22

Check the middle term by multiplying 2ab2ab and compare this result with the middle term in the original expression.

2ab=2⋅(5p)⋅−22ab=2⋅(5p)⋅-2

Simplify.

2ab=−20p2ab=-20p

Factor using the perfect square trinomial rule a2−2ab+b2=(a−b)2a2-2ab+b2=(a-b)2, where a=5pa=5p and b=−2b=-2.

(5p−2)2(5p-2)2