x2(squared)-4x+4
I would factor this into
(X - 2)(X - 2)
If you don't know the rules for factoring, post, and we can show you how to do it.
I don't know the factoring rules. My algebra teacher couldn't teach.
mY TEACHER TEACHES ME BUT I REALLY DON'T UNDERSTAND
2w+1=-3
No problem! I'll be happy to explain the factoring rules to you.
When factoring a quadratic expression, like the one you provided, we are looking for two binomials (expressions with two terms) that when multiplied together, give us the original quadratic expression.
To factor a quadratic expression in the form ax^2 + bx + c, follow these steps:
Step 1: Look for common factors among the terms, if any. In your expression x^2 - 4x + 4, there are no common factors other than 1.
Step 2: Multiply the coefficient of the x^2 term (a) and the constant term (c). In this case, a = 1 and c = 4, so a * c = 1 * 4 = 4.
Step 3: Find two numbers that multiply to give the result obtained in Step 2 (a * c = 4) and also add up to the coefficient of the x term (b). In this case, b = -4.
The numbers that satisfy these conditions are -2 and -2: (-2) * (-2) = 4 and (-2) + (-2) = -4.
Step 4: Rewrite the original expression, replacing the middle term (bx) with the two numbers found in Step 3.
x^2 - 4x + 4 becomes:
x^2 - 2x - 2x + 4
Step 5: Group the terms and factor by grouping. In this case, we can group the first two terms and the last two terms:
(x^2 - 2x) - (2x - 4)
Step 6: Factor out the common factors from each group:
x(x - 2) - 2(x - 2)
Step 7: Notice that both groups have a common factor of (x - 2). Factor out this common term:
(x - 2)(x - 2)
And there you have it! The factored form of the quadratic expression x^2 - 4x + 4 is (x - 2)(x - 2) or (x - 2)^2.
If you have any further questions or need more explanations, feel free to ask!