^{2}+14x+20

^{2}-25x-70

^{2}-3x-54

^{2}

x

^{2}-12x+36

^{3}-27

^{3}-3

^{3}

^{2}– ab + b

^{2})

^{2}+3x+9)

^{2}+3x+9)

^{2}+3x+9)

Simplify the given rational expression.( Assume that all denominators are nonzero) I have done it myself ,Just want to be sure if I am right .

2x^2+14x+20

----------------

5x^2-25x-70

Here is my Answer 2(x+5)

---------

5(x-7)

18-2x

------------

x^2-3x-54

here is my answer: -2

------

x+6

36-x^2

--------------

x^2-12x+36

here is my answer:-(x-6)-^1(x+6)

x^3-27

------------

3-x

here is my answer: -(x^2+3x+9)

Tutors, sign in to answer this question.

Hi again Ibadan;

2x^{2}+14x+20

5x^{2}-25x-70

I will work through, and see if our answers match.

(2x+10)(x+2)

(5x-35)(x+2)

(2x+10)

(5x-35)

2(x+5)

5(x-7)

SAME ANSWER!!!!

18-2x

x^{2}-3x-54

2(9-x)

(-x+9)(-x-6)

2

(-x-6)

MY ANSWER IS SLIGHTLY DIFFERENT!!!!

36-x^{2}

x^{2}-12x+36

x

(6-x)(6+x)

(-x+6)(-x+6)

(6+x)

(-x+6)

MY ANSWER IS DIFFERENT!!!!

x^{3}-27

3-x

The numerator is the arithmetic of two cubes...

x^{3}-3^{3}

The equation for adding two cubes is...

(a + b)(a^{2} – ab + b^{2})

a=x

b=-3

(x-3)(x^{2}+3x+9)

(3-x)

If we make both the numerator and denominator negative...

-(x-3)(x^{2}+3x+9)

(x-3)

-(x^{2}+3x+9)

SAME ANSWER!!!!!

36 - x

3.) = ------------------ =

36 - 12x + x

(6 - x)(6 + x)

------------------ =

(6 - x)^2

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