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Vladimir79 [104]
3 years ago
12

FIND THE FACTORS 32d4+8d

Mathematics
2 answers:
andrew11 [14]3 years ago
4 0
8
d
8
d
out of
32
d
4
+
8
d
32
d
4
+
8
d
.
8
d
(
4
d
3
+
1
)
n200080 [17]3 years ago
3 0

Answer:

8d(4d^3 + 1)

Step-by-step explanation:

32d^4 + 8d

~Apply exponent rule [ x^y+z = x^yx^z ]

32d^3d + 8d

~Rewrite 32

8 * 4d^3d + 8d

~Factor out common term

8d(4d^3 + 1)

Best of Luck!

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Use greatest common factor and the distributive property to write equivalent expressions in factored form for the following expr
Nitella [24]

Answer:

a.  4(d+3e)

b.  6(3x+5y)

c.  7(3a+4y)

d.  8(3f+7g)

Step-by-step explanation:

In each case we find the greatest common factor of the numbers. That is the greatest number that goes into both the numbers. Then we factor it out in front and inside parentheses we divide each original term by the greatest common factor:

a. 4d+12e, GCF: 4

\displaystyle4\left(\frac{4d}{4}+\frac{12e}{4}\right)=4(d+3e)

b. 18x+30y, GCF: 6

\displaystyle6\left(\frac{18x}{6}+\frac{30y}{6}\right)=6(3x+5y)

c. 21a+28y, GCF: 7

\displaystyle7\left(\frac{21a}{7}+\frac{28y}{7}\right)=7(3a+4y)

d. 24f+56g, GCF: 8

\displaystyle8\left(\frac{24f}{8}+\frac{56g}{8}\right)=8(3f+7g)

5 0
4 years ago
Mario has LaTeX: 2\frac{1}{4}2 1 4 pounds of trail mix. He puts equal amounts of the trail mix into 6 bags for a hike with his f
ioda

Answer:

<h2><em>0.375 pounds </em></h2>

Step-by-step explanation:

Let the amount of trail mix in each bag be x pounds. If Mario has 2\frac{1}{4} pounds of trail mix and puts equal amounts of the trail mix into 6 bags for a hike with his friends, the amount of trail mix in each bag can be derives using the expression;

2\frac{1}{4} = 6 * x

solving for x

\dfrac{9}{4} = 6x\\\\2.25 = 6x\\\\divide\ both \ sides \ by \ 6\\\\\dfrac{2.25}{6} = \dfrac{6x}{6} \\\\x = 0.375\\

<em>Hence 0.375 pounds of trail mix will be in each bag</em>

<em></em>

7 0
3 years ago
A square floor has an area of 480 square feet. Kristin wants to put molding around the entire perimeter of the floor.
OLEGan [10]
Well, if it's a square it will have 4 sides. You have a total area of 480 square feet. You take 480/4 and that is 120. Thus you will need 120 feet of molding.
5 0
3 years ago
A rectangle has a length of 6cm, and an area of 18cm aquared. what is the width of the rectangle?
zhuklara [117]

Answer:

  3 cm

Step-by-step explanation:

The formula for the area of a rectangle is ...

  A = LW . . . . . . area is the product of length and width

Fill in the given values and solve for the width (W).

  18 cm² = (6 cm)W

  (18 cm²)/(6 cm) = W = (18/6) cm²/cm . . . . . . divide by the coefficient of W

  W = 3 cm

The width of the rectangle is 3 cm.

3 0
4 years ago
If 3x - 2y=5 then, prove that<br>27x^3 - 8y^3 - 54x^2y + 36xy^2 = 125<br>​
s2008m [1.1K]

Step-by-step explanation:

(3x-2y)³=5³

(3x)³-3(3x)².2y+3.3x.(2y)²-(2y)³=125

27x³-54x²y+36y²x-8y³=125

8 0
4 years ago
Read 2 more answers
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