find the factored forms of each expression.
-9x^2 - 100
I bet you mean
9 x^2 - 100
(3x-10)(3x+10)
thanks
To find the factored form of the expression -9x^2 - 100, we can use the difference of squares formula. The difference of squares formula states that a^2 - b^2 can be factored as (a + b)(a - b).
In our case, we have -9x^2 - 100. First, notice that both terms are negative, so we can factor out a -1 to simplify the expression:
-1(-9x^2 - 100)
Next, let's rewrite -9x^2 and -100 as perfect squares:
-1((3x)^2 - 10^2)
Now, we can apply the difference of squares formula:
-1((3x + 10)(3x - 10))
So, the factored form of -9x^2 - 100 is (-1)(3x + 10)(3x - 10).