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Tpy6a [65]
3 years ago
12

Factorize 216x^3 + 64y^3

Mathematics
1 answer:
marin [14]3 years ago
5 0

Answer:

8( 3x+2y) ( 9x^2 -6xy +4y^2)

Step-by-step explanation:

216x^3 + 64y^3

Factor out the greatest common factor of 8

8( 27x^3 +8y^3)

Rewriting

8 ( (3x)^3 + (2y)^2))

Recognizing this as the difference of cubes)

a^3 + b^3 = (a+b) (a^2-ab+b^2)

8 ( (3x)^3 + (2y)^2)) = 8( 3x+2y) ( 9x^2 -(3x)(2y) +4y^2)

                                 =8( 3x+2y) ( 9x^2 -6xy +4y^2)

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8x-29 + 6x-11 + 3x-1 solve for x
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Answer:

Step-by-step explanation:

I need help on this too.

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3 years ago
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- If the area of a square is multiplied by nine, the area becomes 16 square inches. Find the
mojhsa [17]

Answer:

1⅓ inches

Step-by-step explanation:

Area = side² = x²

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4 0
3 years ago
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2 years ago
HELP PLEASE!
navik [9.2K]
1. 
20= 2(x-4)
20/2= 2(x-4)/2
10= x-4
+4 .  +4
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3 0
3 years ago
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X+3y-2z=1 2x-y+2z=1 -x-4y+6z=2
melomori [17]
X + 3y - 2z = 1
-x - 4y + 6z = 2
-------------------add
-y + 4z = 3

x + 3y - 2z = 1....multiply by -2
2x - y + 2z = 1
------------------
-2x - 6y + 4z = -2 (result of multiplying by -2)
2x - y + 2z = 1
-----------------add
-7y + 6z = -1

-y + 4z = 3 .....multiply by -7
-7y + 6z = -1
-----------------
7y - 28z = -21 (result of multiplying by -7)
-7y + 6z = -1
-----------------add
- 22z = -22
z = -22/-22
z = 1 <===

-y + 4z = 3
-y + 4(1) = 3
-y + 4 = 3
-y = 3 - 4
-y = -1
y = 1 <===

x + 3y - 2z = 1
x + 3(1) - 2(1) = 1
x + 3 - 2 = 1
x + 1 = 1
x = 1 - 1
x = 0 <==

so x = 0, y = 1, and z = 1



4 0
3 years ago
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