100Y^2-4Z^2
What is the problem? Factor? It is a difference of two squares.
The given expression is 100Y^2 - 4Z^2. To factor this expression, we first notice that it is a difference of two squares.
The general form of a difference of two squares is a^2 - b^2 = (a + b)(a - b), where a and b can be any real numbers.
In our case, a = 10Y and b = 2Z. Therefore, we can rewrite the expression as:
100Y^2 - 4Z^2 = (10Y + 2Z)(10Y - 2Z)
So, the factored form of the expression 100Y^2 - 4Z^2 is (10Y + 2Z)(10Y - 2Z).