The required product of the function (x + y)(6x - 2y) is 6x²-2y² + 4xy.
Product of the function (x + y)(6x - 2y).
What is the product of the function?
To find the product of functions is the same as multiplying the functions by each other. When you multiply two functions, to get a function as the derivative, that function will be the product of the two former functions.
Example (a + b)(a + b) = a²+ 2ab +b² or (x + 1)(x + 1) = x² + 2x + 1
f(x) = (x + y)(6x - 2y)
using the distributive law of mathematics
= x(6x - 2y) + y(6x - 2y)
= 6x² - 2yx + 6xy - 2y²
= 6x²-2y² + 4xy
Thus, the required product of the function (x + y)(6x - 2y) is 6x²-2y² + 4xy.
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