SOLUTION: Completely factor the expression 27x2y + 90xy2 + 75y3

Algebra.Com
Question 482579: Completely factor the expression
27x2y + 90xy2 + 75y3

Answer by mathstutor494(120)   (Show Source): You can put this solution on YOUR website!
27x2y + 90xy2 + 75y3
= 3y (9x^2 + 30xy + 25y^2)
= 3y (9x^2 + 15xy +15xy+25y^2)
= 3y {3x(3x+5y) + 5y(3x+5y)}
= 3y (3x+5y) (3x+5y)
= 3y (3x+5y)^2

RELATED QUESTIONS

Not understanding please help? Completely factor the expression 27x2y + 180xy2 + 75y3 (answered by jim_thompson5910)
Factor the expression completely:... (answered by jim_thompson5910)
factor the expression completely x^8 -... (answered by scott8148)
Factor the following expression completely: 36x3 – 16x (answered by mananth)
Factor the expression completely. 3x^3 -... (answered by scott8148)
Factor the following expression completely: 20x3 – 45xy2 (answered by MathLover1)
Completely factor the following expression: 9y2 –... (answered by Gogonati,rfer)
Completely factor the expression 216x2 – 384y2 (answered by mananth,stanbon)
Completely factor the expression.... (answered by Alan3354,jim_thompson5910)