Question

25x^2+9y^2+9z^2-30xy-18yz+30xz
factorize ..
if possible someone plz tell fast ..its urgent

Answer 1

Step-by-step explanation:

Factor 25x^2+30xy+9y^2

25x2+30xy+9y225x2+30xy+9y2

Rewrite 25x225x2 as (5x)2(5x)2.

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

Rewrite 9y29y2 as (3y)2(3y)2.

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

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

2ab=2⋅(5x)⋅(3y)2ab=2⋅(5x)⋅(3y)

Simplify.

2ab=30xy2ab=30xy

Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2a2+2ab+b2=(a+b)2, where a=5xa=5x and b=3yb=3y.

(5x+3y)2(5x+3y)2

25x2+30xy+9y225x2+30xy+9y2

+17y+17y

==

+13y+13y