Simplify: 4x + 4y + 4z

Mathematics

2 answers:

Alexxandr [17]3 years ago

6 0

The answer is 4(x+y+z)

Zina [86]3 years ago

5 0

Answer:

$4(x+y+z)$

Step-by-step explanation:

The given expression is

$4x+4y+4z$

Simplify in this context means factorize, which we can do by extracting the common factor 4, which is present in every term of the expression. So, it would result

$4x+4y+4z=4(x+y+z)$

Remember that to extract a common factor, we just have to divide that factor from each term, and then place it in front of the expression as a factor.

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2 years ago

There are 2 different maps of California. The scale on the first map is 1cm to 20km. The distance from Fresno to San Francisco i

Oksi-84 [34.3K]

Answer:

75 km

Step-by-step explanation:

Given the following :

Scale on first map = 1cm to 20 km

Distance fromFresno to San Francisco = 15km on first map

Scale on 2nd map = 1cm to 100 km

1cm / 20km = 15km

Let of Distance from Fresno to San Francisco on 2nd map = d

1cm / 100km = d

1 : 20 = 15

1 : 100 = d

20/ 100 = 15/d

1/5 = 15/d

d = 15 * 5

d = 75 km

8 0

3 years ago

What is the exponet of 10×10

Ivanshal [37]

The exponent of 10x10 is 100

5 0

3 years ago

Read 2 more answers

Integration of sin^2 2x cos^3 2x dx

lilavasa [31]

$\int\left[\sin^2(2x)\cos^3(2x)\right]dx=\int\left[\sin^2(2x)\cos^2(2x)\cos(2x)\right]dx\\\\\text{Use the trigonometric identity}\sin^2(x)+\cos^2(x)=1\to\cos^2(x)=1-\sin^2(x)\\\\=\int\left\{\sin^2(2x)[1-\sin^2(2x)]\cos(2x)\right\}dx\\\\\text{substitute}\ \sin2x=t\ \to\ 2\cos2x\ dx=dt\ \to\ \cos2x\ dx=\dfrac{1}{2}\ dt\\\\=\dfrac{1}{2}\int\left[t^2(1-t^2)\right]dt=\dfrac{1}{2}\int(t^2-t^4)dt=\dfrac{1}{2}\left(\dfrac{1}{3}t^3-\dfrac{1}{5}t^5\right)+C$