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Angelina_Jolie [31]
3 years ago
10

7)

Mathematics
1 answer:
Deffense [45]3 years ago
6 0

Answer:

B

Step-by-step explanation:

a³ + b³ = (a + b)(a² -ab + b²)

27 = 3* 3 * 3 = 3³

64 = 4 * 4 * 4 = 4³

27a³ + 64b³ = 3³a³ + 4³b³

                    = (3a)³ + (4b)³        

                    = (3a + 4b) ( [3a]² - 3a*4b + [4b]²)

                    = (3a + 4b) (9a² - 12ab + 16b²)

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expeople1 [14]

Answer:

Factored form is

f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))


Step-by-step explanation:

Given that  

f(x)=x3−7x2+2x+4

To solve for x  we factorise the right side

f(x)=x3−7x2+2x+4

Let us substitute x for various values to check whether remainder is zero.

i.e. f(1) = 1-7+2+4  =0

     

Hence x-1 is a factor

Do synthetic division to find the quotient

1       1    -7    2    4

              1     -6   -4

       ----------------------

        1    -6    -4   0

i.e. we get remainder 0 and quotient as

x^2-6x-4

Use completion of squares method to solve this

x^2-6x-4

= (x-3)^2+5=0

x-3= ±√(-5)

Or x=1,3+√(-5,)  3-√(-5,)

Are the roots

Factored form is

f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))


3 0
3 years ago
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