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 a = -3b, b > 0 and c = 2b, simplify (3b - 4a) / (3c + 4b)

3b - 4a
3c + 4b

Hint

Hint

2.
Given x > 0, y = -2 and z = 4, simplify (x + y)(y + z)²/(2x + z)

(x + y)(y + z)²
2x + z

Hint

3.
Given a = -0.5, b = -2, simplify (1 + ab)² + (1 + b²)c

Hint

4.
Given b = -2a, simplify a³ + 2a²b - 5ab² + b³ + c³

Hint

5.
Given b = -2a and c = -3a, simplify ab² + a²c

Hint

6.
Given x > 0, y = x and z = 2x, simplify (3z² - 2y³ + 2y²) / x²

3z² - 2y³ + 2y²
x²

Hint

7.
Given x > 0, y = 3x and z = -2x, simplify (2x² - 2y³/3 + z² - 2y²) / (yz)

2x² - 2y³/3 + z² - 2y²
yz

Hint

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