Find the HCF of x - x and x² + x + 1.​

We know that HCF is the highest common factor.

Factorise x  

3

+x  

2

−x−1 as follows:

x  

3

+x  

2

−x−1=x  

2

(x+1)−1(x+1)=(x  

2

−1)(x+1)=(x−1)(x+1)(x+1)=(x−1)(x+1)  

2

(using identity a  

2

−b  

2

=(a+b)(a−b))    

Now, factorise x  

3

+x  

2

+x+1 as follows:

x  

3

+x  

2

+x+1=x  

2

(x+1)+1(x+1)=(x  

2

+1)(x+1)                    

Since the common factor between the polynomials x  

3

+x  

2

−x−1 and x  

3

+x  

2

+x+1 is (x+1).

Hence, the HCF is (x+1).

Step-by-step explanation:

x^2+3x+1

Step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

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

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)

the answer is c 150

step-by-step explanation: