SOLUTION: find the product (x-4y)(5x-9y) a)5x^2-29xy-29y^2 b)x^2-29xy+36y^2 c)x^2-29xy-29y^2 d)5x^2-29xy+36y^2

Algebra ->  Equations -> SOLUTION: find the product (x-4y)(5x-9y) a)5x^2-29xy-29y^2 b)x^2-29xy+36y^2 c)x^2-29xy-29y^2 d)5x^2-29xy+36y^2      Log On


   

Question 147740: find the product
(x-4y)(5x-9y)
a)5x^2-29xy-29y^2
b)x^2-29xy+36y^2
c)x^2-29xy-29y^2
d)5x^2-29xy+36y^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-4y%29%285x-9y%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%28x%29-4y%29%28highlight%285x%29-9y%29 Multiply the First terms:%28x%29%2A%285%2Ax%29=5%2Ax%5E2.


%28highlight%28x%29-4y%29%285x%2Bhighlight%28-9y%29%29 Multiply the Outer terms:%28x%29%2A%28-9%2Ay%29=-9%2Ax%2Ay.


%28x%2Bhighlight%28-4y%29%29%28highlight%285x%29-9y%29 Multiply the Inner terms:%28-4%2Ay%29%2A%285%2Ax%29=-20%2Ax%2Ay.


%28x%2Bhighlight%28-4y%29%29%285x%2Bhighlight%28-9y%29%29 Multiply the Last terms:%28-4%2Ay%29%2A%28-9%2Ay%29=36%2Ay%5E2.


5%2Ax%5E2-9%2Ax%2Ay-20%2Ax%2Ay%2B36%2Ay%5E2 Now collect every term to make a single expression.


5%2Ax%5E2-29%2Ax%2Ay%2B36%2Ay%5E2 Now combine like terms.


So %28x-4y%29%285x-9y%29 FOILS to 5%2Ax%5E2-29%2Ax%2Ay%2B36%2Ay%5E2.


In other words, %28x-4y%29%285x-9y%29=5%2Ax%5E2-29%2Ax%2Ay%2B36%2Ay%5E2.