Factor the polynomial 25x^2−20xy+180y^2

25 x 2 − 20 x y + 180 y 2

Step-by-step explanation:

Factor 5 5 out of 25 x 2 25x2.

5 ( 5 x 2 ) − 20 x y + 180 y 2 5(5x2)-20xy+180y2

Factor 5 5 out of − 20 x y -20xy.

5 ( 5 x 2 ) + 5 ( − 4 x y ) + 180 y 2 5(5x2)+5(-4xy)+180y2

Factor 5 5 out of 180 y 2 180y2. 5 ( 5 x 2 ) + 5 ( − 4 x y ) + 5 ( 36 y 2 ) 5(5x2)+5(-4xy)+5(36y2)

Factor 5 5 out of 5 ( 5 x 2 ) + 5 ( − 4 x y ) 5(5x2)+5(-4xy). 5 ( 5 x 2 − 4 x y ) + 5 ( 36 y 2 ) 5(5x2-4xy)+5(36y2)

Factor 5 5 out of 5 ( 5 x 2 − 4 x y ) + 5 ( 36 y 2 ) 5(5x2-4xy)+5(36y2). 5 ( 5 x 2 − 4 x y + 36 y 2 )

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

in 1995, potato plants were taken into space aboard the space shuttle columbia.

step-by-step explanation: