6 Questions
What is the simplified form of the expression $\frac{16m^2}{24m}$?
$\frac{2m}{3}$
What is the product of the expressions $4a - 36a$ and $2a - 24a$?
$(-32a^2 + 144a)$
Simplify the expression $\frac{32x^3y}{8x^2y^4}$.
$4xy$
What is the quotient of the expressions $2n - 3$ and $n + 1$?
$2 - \frac{4}{n+1}$
Simplify the expression $\frac{4a - 36a}{2a - 24a}$.
$2$
What is the simplified form of the expression $\frac{6c + 13c - 63}{2c - 9c + 4}$?
$-3$
Study Notes
Simplifying Rational Expressions
- Simplify rational expressions by combining like terms and canceling out common factors.
- Examples: 16m^2/24m, 3x^2 - 10x - 24/x+2, etc.
Multiplying Rational Expressions
- Multiply rational expressions by multiplying the numerators and denominators separately.
- Examples: (32x^3y)/(15y) × (5xy^2)/(8x^2y^4), (28n+40)/(12n+24) × (35n+50)/(8n+16), etc.
Dividing Rational Expressions
- Divide rational expressions by inverting the second expression and then multiplying.
- Examples: (14m^2)/(7m) ÷ (3m)/(18m^5), (2a+14a)/(10a+70) ÷ (8a^2), etc.
Product of Rational Expressions
- Find the product of rational expressions by multiplying the numerators and denominators separately.
- Examples: (32x^3y)/(15y) × (5xy^2)/(8x^2y^4), (28n+40)/(12n+24) × (35n+50)/(8n+16), etc.
Quotient of Rational Expressions
- Find the quotient of rational expressions by inverting the second expression and then multiplying.
- Examples: (14m^2)/(7m) ÷ (3m)/(18m^5), (2a+14a)/(10a+70) ÷ (8a^2), etc.
Practice simplifying, multiplying, and dividing rational expressions with this homework assignment. Solve various problems to improve your understanding of rational functions.
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