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Algebra Homework Help : Substitution in Algebraic Expressions


Evaluate or simplify each of the following algebraic expressions after making appropriate substitutions.
Type the simplified final expression in the input box. Leave no spaces when typing the answer.
Since there are multiple ways of writing an answer, it is possible the computer may mark a correct answer wrong.
So, please always check the answer and explanation.


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1.

Given p = -r, q = 0 and r > 0, simplify (pq + 2qr + 3pr)/(q - p)
pq + 2qr + 3pr
q - p
 
Hint      

2.

Given p = -2q, simplify (p3qr) (-pqr2)
 
Hint      

3.

Given x > 0, y = x and z = 2x, simplify (3z2 - 2y3 + 2y2) / x2
3z2 - 2y3 + 2y2
x2
 
Hint      

4.

Given b = 4 and c = -3, simplify (b + c)2 + (b - 2c)2 + abc
 
Hint      

5.

Given x > 0, y = 3x and z = -2x, simplify (2x2 - 2y3/3 + z2 - 2y2) / (yz)
2x2 - 2y3/3 + z2 - 2y2
yz
 
Hint      

6.

Given b = -2a and c = -3a, simplify ab2 + a2c
 
Hint      

7.

Given x = z + 2 and y = z - 3, simplify (5x + 2y + 3z) / (x - z)
 
Hint      


 
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