Factor the expression. x^2+9xy-52y

  (x + 13y) • (x - 4y)

Step-by-step explanation: Step  1  :

Equation at the end of step  1  :

 ((x2) +  9xy) -  (22•13y2)

Step  2  :

Trying to factor a multi variable polynomial :

2.1    Factoring    x2 + 9xy - 52y2  

Try to factor this multi-variable trinomial using trial and error  

Found a factorization  :  (x + 13y)•(x - 4y)

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0