How do you factor $9x^2+30xy+25y^2$ ?

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Answer 1 · 2018-03-13T13:09:42

$(3x+5y)(3x+5y)$

Start by factoring the first expression, $9x^2$

There are two possibilities for the 9, either $9*1$ or $3*3$ and one possibility for the $x^2$ , only $x*x$

Factoring the last expression $25y^2$ also has few possibilities, $25*1 or 5*5$ , and $y*y$

The standard equation is $x^2+2xy+y^2$ , and $2*3*5=30$ so the solution is $(3x+5y)(3x+5y)$

How do you factor 9x^2+30xy+25y^29x^2+30xy+25y^2?