Answer:
![\large\boxed{x^4+x=x(x^3+1)=x(x+1)(x^2-x+1)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%5E4%2Bx%3Dx%28x%5E3%2B1%29%3Dx%28x%2B1%29%28x%5E2-x%2B1%29%7D)
Step-by-step explanation:
![x^4=x\cdot \underbrace{x\cdot x\cdot x}_{3}=x\cdot x^3\\\\x=x\cdot 1\\\\x^4+x=\bold{x}\cdot x^3+\bold{x}\cdot1=\bold{x}\cdot(x^3+1)\\\\\text{used the distriburtive property:}\ a(b+c)=ab+ac](https://tex.z-dn.net/?f=x%5E4%3Dx%5Ccdot%20%5Cunderbrace%7Bx%5Ccdot%20x%5Ccdot%20x%7D_%7B3%7D%3Dx%5Ccdot%20x%5E3%5C%5C%5C%5Cx%3Dx%5Ccdot%201%5C%5C%5C%5Cx%5E4%2Bx%3D%5Cbold%7Bx%7D%5Ccdot%20x%5E3%2B%5Cbold%7Bx%7D%5Ccdot1%3D%5Cbold%7Bx%7D%5Ccdot%28x%5E3%2B1%29%5C%5C%5C%5C%5Ctext%7Bused%20the%20distriburtive%20property%3A%7D%5C%20a%28b%2Bc%29%3Dab%2Bac)
![\text{If you want complete factorise, then:}](https://tex.z-dn.net/?f=%5Ctext%7BIf%20you%20want%20complete%20factorise%2C%20then%3A%7D)
![\text{use}\ a^3+b^3 = (a + b)(a^2 - ab + b^2)](https://tex.z-dn.net/?f=%5Ctext%7Buse%7D%5C%20a%5E3%2Bb%5E3%20%3D%20%28a%20%2B%20b%29%28a%5E2%20-%20ab%20%2B%20b%5E2%29)
![x^4+x=x(x^3+1)=x(x+1)(x^2+(x)(1)+1^2)=x(x+1)(x^2+x+1)](https://tex.z-dn.net/?f=x%5E4%2Bx%3Dx%28x%5E3%2B1%29%3Dx%28x%2B1%29%28x%5E2%2B%28x%29%281%29%2B1%5E2%29%3Dx%28x%2B1%29%28x%5E2%2Bx%2B1%29)
Answer:
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Step-by-step explanation:
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Answer:
a/(a-6) = ab + 4.
Step-by-step explanation:
Answer:
A) 4 students
B) 32.5%
C) 19/40
Step-by-step explanation:
Using set notation to solve the problem with universal set n(U) = 40
Let n(A) be the number of students that pass account
n(E) be the number of students that pass economics
n(M) be the number of students that pass mathematics
n(AUEUM)' be number of students that failed in all the 3 subjects.
n(AUEUM) be number of students that pass in all the 3 subjects.
n(U) = n(AUEUM)+ n(AUEUM)'
Find the remaining solution in the attachment
Answer:
B). The left and right-hand edges of the box will be approximately equal distances from the median.
Step-by-step explanation:
The 'symmetry' si described as a 'satisfying arrangement of a balanced distribution of the elements of the whole' while a 'symmetry group' is characterized as a group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.
As per the given conditions, <u>the second statement asserts a true claim regarding the keeping of edges of left, as well as, right-hand side's boxes at equal intervals from the median</u>. This will help in making the arrangement fulfilling while keeping a little scope for the variation. Thus, <u>option B</u> is the correct answer.