Factor: x^2 - 8x + 16

Answers

Answer 1

Answer:

The required factor of the given expression x² -8x + 16 is (x - 4)².

What is factor?

In mathematics, a factor is a number or algebraic expression that divides another number or expression evenly without leaving a remainder.

To factor the expression x² - 8x + 16, we can use the following steps,

Step 1: Identify the first and last terms of the expression, which are x² and 16, respectively.
Step 2: Find two numbers that multiply by 16 and add up to -8. In this case, these numbers are -4 and -4, since (-4) x (-4) = 16 and (-4) + (-4) = -8.
Step 3: Rewrite the middle term of the expression (-8x) as the sum of the two numbers found in step 2, i.e., -4x - 4x.
Step 4: Factor by grouping, by grouping the first two terms (x² - 4x) and the last two terms (-4x + 16) separately, and factoring out the common factor in each group
= x² - 4x - 4x + 16
= x(x - 4) - 4(x - 4)
= (x - 4)(x - 4)

Step 5: Simplify the result by writing (x - 4)(x - 4) as (x - 4)².

Therefore, the factored form of x² - 8x + 16 is (x - 4)².

Learn more about Factors here:

brainly.com/question/24182713

#SPJ5

Answer 2

Answer: X^2-8x+16= (x-4)^2 because -4 and -4 add to -8 but multiply to 16. Hope that helped.

Related Questions

What is the volume of the right prism? A.3780 in3 B.16,800 in3 C.8400 in3 D.3360 in3
Can you help please?
for a given right triangle , side a =490 feet and side b =960 feet what is the measure of angle B to the nearest degree ?
In triangle ABC, EG = x inches and BG = (5x - 12) inches. Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A D, B E, C F. [Figure may not be drawn to scale] What is EB? 2 inches 4 inches 8 inches 12 inches
The question says evaluate 2a-b/b when a=4 and b=-3.How would I start this problem?

If f(x) = 5x + 40, what is f(x) when x = –5?

Answers

15 would be your answer

yeah he's correct its 15

How do you solve 2/3=m/42

Answers

$(2)/(3) = (m)/(42) \n \n (2)/(3) * 42 = m \ / \ multiply \ each \ side \ by \ 42 \n \n (84)/(3) = m \ / \ simplify \n \n 28 = m \ / \ simplify \n \n m = 28 \ / \ change \ sides \n \n$

The final result is m = 28.

2/3 = m/42

m/42 = 2/3
*42 *42

2/3 * 42/1 = 84/3 = 28

m = 28

Answer: m = 28

Pleaseeeee helppp!!!!!!!!!!!

Answers

$4^(2x)=7^(x-1)\n16^x=7^x\cdot7^(-1)\n(16^x)/(7^x)=(1)/(7)\n\left((16)/(7)\right)^x=(1)/(7)\nx=\log_{\tfrac{16}{7}}(1)/(7)\approx-2.35389$

What is -5[4-(-3)(2)]

Answers

-5[4 - (-3)(2)] Given
-5(4 + 6) Multiply -3 by 2. Since you're subtracting the product, -6, it becomes a positive.
-20 - 30 Distribute
-50 Subtract

Remember that when you're doing a problem that has brackets and parentheses, always do the operations on the inside first. For instance, in this problem, you shouldn't distribute 5 before you multiply -3 by 2.

Which equations have the variable term isolated to one side of the equals sign, and the constant isolated to the other side, for the equation 1 5 x + 1 3 = −1 2 x + 8 3 ? Select all that apply. One-fifth x minus StartFraction 7 Over 3 EndFraction = negative one-half StartFraction 7 Over 10 EndFraction x = StartFraction 7 Over 3 EndFraction
Negative StartFraction 7 Over 3 EndFraction = Negative StartFraction 7 Over 10 EndFraction x
x = negative five-halves x + StartFraction 35 Over 3 EndFraction
0 = negative StartFraction 7 Over 10 EndFraction x + StartFraction 7 Over 3 EndFraction