Solve:
(2+x)(-sinx)
(2+x)(-sinx)
is an expression, and cannot be solved.
To solve an equation, the expression must be equated to a value, such as
x²+2x+1=0
so, assuming that you want to find x where
(2+x)(-sinx) = 0,
then you must have either
2+x = 0
or
-sinx = 0
I expect you can solve both of those.
This shows why we always set the product of factors equal to zero. If a product is zero, then at least one of the factors must be zero, since only multiplying by 0 gives a product of 0.
To solve the expression (2+x)(-sinx), we can apply the distributive property of multiplication. This property states that when we have a number or expression multiplied by a sum of terms, we can distribute the multiplication to each term individually.
In this case, we can distribute the (-sinx) to each term in the parentheses, which will give us:
(2)(-sinx) + (x)(-sinx)
Now, let's simplify each term separately:
(2)(-sinx) can be written as -2sinx.
Similarly, (x)(-sinx) can be written as -xsinx.
Putting them back together, we have:
-2sinx - xsinx
To combine these terms, we can factor out the common factor of "sinx", which gives us:
(-2 - x)sinx
Therefore, the simplified expression is (-2 - x)sinx.