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:

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

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