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Charra [1.4K]
3 years ago
12

The expansion of (x-2)(x+2) is …..​

Mathematics
2 answers:
den301095 [7]3 years ago
6 0

Answer:

  • (x+2)(x-2)
  • (x²-2²)
  • (x²-4)

hope it helps

<h2>stay safe healthy and happy...</h2>
KengaRu [80]3 years ago
3 0

Answer:

x2-4

Step-by-step explanation:

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Factorise:<br> X2-3x+2<br> X2-2x-3<br> X2+2x-8<br> Please help
katovenus [111]

Answer:

fdghjkl

Step-by-step explanation:

fghjkl

3 0
3 years ago
-6(w - 4) + 8W=6(w + 2)​
Nesterboy [21]

Answer:

w = 3

Step-by-step explanation:

-6(w - 4) + 8W=6(w + 2)​

-6w + 24 + 8w = 6w + 12

2w + 24 = 6w + 12

12 = 4w

3 = w

7 0
3 years ago
Read 2 more answers
Consider the following division of polynomials.
Bond [772]

x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8

-x^3=-x\cdot x^2. Multiplying the denominator by -x gives

-x(x^2+2x+8)=-x^3-2x^2-8x

and subtracting this from the previous remainder gives a new remainder of

(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8

This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}

=x^2-x+1

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)

=x^4+x^3+7x^2-6x+8

which matches the original numerator.

3 0
3 years ago
Read 2 more answers
Suppose that a cyclist began a 374 mi ride across a state at the western edge of the​ state, at the same time that a car traveli
kherson [118]
This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
thus the speed of the bicycle was x=17.2833 mph
The speed of the car was (x+33.4334)=(17.2833+33.4334)=50.7167 mph

4 0
3 years ago
A twelve inch candle and an 18 inch candle are lit at 6 pm. The 12-in. candle burns 0.5 inches every hour. The 18 inch candle bu
Greeley [361]
 <span>18 - 2t = 12 - 0.5t 
6 = 1.5t 
t = 6/1.5 
t = 4 hours 
time required to have the same height = 4hours 
At what time ? 
answer : at 10pm 
------------------- 
12inch candle lasts longer ..</span>
3 0
3 years ago
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