multiplying binomials in two variables
multiply
(5x+y)(x-4y)
simplify your asnwer
To multiply the binomials (5x+y)(x-4y), we use the distributive property:
First, multiply 5x by x: 5x * x = 5x^2
Then, multiply 5x by -4y: 5x * -4y = -20xy
Next, multiply y by x: y * x = xy
Finally, multiply y by -4y: y * -4y = -4y^2
Now, combine these products to get the final answer:
(5x+y)(x-4y) = 5x^2 - 20xy + xy - 4y^2
= 5x^2 - 19xy - 4y^2
Therefore, the simplified answer is 5x^2 - 19xy - 4y^2.