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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.

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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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