How do you factorise #x^2-14xy-51y^2#?

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Answer 1 · 2017-07-09T16:03:49

#(x + 3y)(x - 17y)#

#x and y# are variables.

Factor
#f(x) = x^2 - 14yx - 51y^2# to get

#(x" "y)(x" "y)#

Find 2 quantities, knowing their sum #(-14)#

and their product #(-51 )#.

They are #(3) and (-17) rarr#

(sum #= -14 and " product" = - 51#)

Factored form:

#f(x) = (x +3y)(x - 17y)#