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bulgar [2K]
4 years ago
7

Factor by using the difference of two cubes

Mathematics
1 answer:
Nikolay [14]4 years ago
6 0

Answer:

Step-by-step explanation:

a) a^3-64b^3

=(a)^3-(4b)^3

=(a-4b)(a^2+4ab+16b^2)

b) 3x^3-81y^3z^6

=3(x^3-27y^3z^6)

=3{(x)^3-(3yz^2)^3}

=3(x-3yz^2)(x^2+3xyz^2+9y^2z^4)

c)16a^3b^3-54c^3d^3

=2(8a^3b^3-27c^3d^3)

=2{(2ab)^3-(3cd)^3

=2(2ab-3cd)(4a^2b^2+6abcd+9c^2d^2)

hope u got!!

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What is the constant in the following expression? -8x^2+17y+19
attashe74 [19]

Answer:

(x + 2) • (x - 19)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • -38 = -38

Step-2 : Find two factors of  -38  whose sum equals the coefficient of the middle term, which is   -17 .

     -38    +    1    =    -37

     -19    +    2    =    -17    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -19  and  2

                    x2 - 19x + 2x - 38

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-19)

             Add up the last 2 terms, pulling out common factors :

                   2 • (x-19)

Step-5 : Add up the four terms of step 4 :

                   (x+2)  •  (x-19)

            Which is the desired factorization

7 0
3 years ago
Find the fifth term in the geometric sequence, given the first term and the common ratio. a1=243 and r=1/3
alexgriva [62]

Answer:

3

Step-by-step explanation:

a5 = a* r^4 ( from general formular of a GP)

= 243 * (1/3)^4 =. 243 * 1/81 = 3

4 0
3 years ago
Type the missing number that makes these fractions equal:<br><br> 4<br> 8<br> = <br><br> 2
WITCHER [35]

Answer:

4

Step-by-step explanation:

4/8=2/4

Both equal 1/2

6 0
2 years ago
Read 2 more answers
Can someone please help
kirill115 [55]

answer:

sen this to yo teach

7 0
3 years ago
There are 17 animals in the barn. Some are ducks and some are sheep. There are 48 legs in all. How many of each animal arr there
mafiozo [28]

Answer:

x=10 , y=7

Step-by-step explanation:

x + y = 17

we know that ducks has 2 feet and sheep has 4 feet.

so, 2x + 4y = 48

x = 17 -y

2(17-y) + 4y = 48

34 - 2y + 4y = 48

2y = 48 -3 4

2y =1 4

y=7

x + 7 = 17

x = 17-7

x=10

5 0
4 years ago
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