how do you factor 9x squared -36x+36
It's 81. 9x9=81. 81-36=65. 65+36=81
first take out a common factor of 9 which leaves you with
9(x^2 - 4x + 4) , the bracket is a perfect square, so....
9(x-2)^2
Simplify and state the restrisctions on the variables.
4/mn * m/2
To factor the expression 9x^2 - 36x + 36, we need to find two binomials whose product is equal to this expression. Here's how you can do it:
Step 1: Check for a common factor
Look for a common factor among all the terms in the expression. In this case, we can see that all three terms are divisible by 9, so we can factor out a 9:
9(x^2 - 4x + 4)
Step 2: Factor the quadratic expression inside the parentheses
Now we need to factor the quadratic expression x^2 - 4x + 4. To do this, we can use the fact that it is a perfect square trinomial. It can be written in the form (x - a)^2, where 'a' is half of the coefficient of the x-term.
In this case, 'a' is 2, since (2)^2 = 4. Therefore, we can write the expression as:
9(x - 2)^2
So the completely factored form of 9x^2 - 36x + 36 is 9(x - 2)^2.