Question

25x²-30xy+9y²-121 factorise the following​

Answer 1

Answer:

here

Step-by-step explanation:

25x2+30xy+9y2

Rewrite

25x2

as

(5x)2.(5x)2+30xy+9y2

Rewrite

9y2

as

(3y)2.(5x)2+30xy+(3y)2

Check the middle term by multiplying

2ab

and compare this result with the middle term in the original expression.

2ab=

2⋅(5x)⋅(3y)

Simplify.

2ab=30xy

Factor using the perfect square trinomial rule

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

, where

a=5x

and b=3y.

(5x+3y)2