How to Simplify y^2-6xy+5x^2 ?

1 Answer
May 9, 2018

Assuming you mean 'factorise'.

(y-x)(y-5x)

Explanation:

Note that (-1)xx(-5) = +5 color(white)("ddd")andcolor(white)("ddd") -1-5=-6

The only way we can have y^2 as the first term is to use:
(y+?)(y+?)

Using whole numbers, the only way we can have the last term as +5x^2 is to use 1x xx5x which means the construct could be:

(y-1x)(y-5x)color(white)("ddd")->color(white)("ddd")(y-x)(y-5x)

color(blue)("Check")

+y(y-5x) -> y^2-5xy
-x(y-5x)-> ul(color(white)(y^2)-xy+5x^2 larr" Add")
color(white)("ddddddddddd.")y^2-6xy+5x^2color(white)("d") as required