Multiplication of Rational Expressions
Multiplication of rational expressions involves the process of multiplying two or more algebraic fractions. In this mathematical operation, the numerators and denominators are multiplied separately, and the result is then simplified by canceling common factors. This process is an essential skill in algebra, particularly when dealing with equations and expressions containing rational functions. Understanding the rules and techniques for multiplying rational expressions is crucial for solving complex mathematical problems and simplifying algebraic expressions efficiently.
Questions
- How do you simplify #\frac { 2p ^ { 6} q ^ { - 9} } { 6p ^ { 3} q ^ { 6} r ^ { - 4} }#?
- How do you evaluate #\frac { 17} { 18} - ( \frac { 1} { 3} + \frac { 4} { 9} )#?
- How do you evaluate #4(p-q)# for #p=7# and #q=3#?
- How do you rationalise the denominator of #(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))# and express in the form #a+bsqrt(3)# ?
- How do you multiply #(x^3+1 )/(x^3-x^2+x)*(3x)/(-12x - 12)#?
- How do you solve #a+ 1\frac { 2} { 3} = 2\frac { 5} { 6}#?
- How do you simplify #10x^2(x+5)/3 * 9/(2x)#?
- How do you solve #\frac { 6} { x } = \frac { 4} { 3x } + 1#?
- How do you multiply #(3x + 4) ( 2x + 5y )#?
- How do you simplify #(x-3)/(4x-12) times( 3x+9)/(4x+12)#?
- The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, what are the numbers?
- How do you simplify #4(2r+3)-5(2r+1)#?
- How to find x, #x^5=9#?
- What is the least common multiple between 19 and 29?
- How do you evaluate #(10x ^ { 3} + 30x ^ { 2} + 60x - 106) \div ( 10x - 10)#?
- What is 1/5 ×4 2/3 =?
- How do you multiply and simplify #\frac { 7s } { s ^ { 2} - 64} \cdot \frac { s - 8} { s }#?
- How do you solve #\frac { 8} { 7} - \frac { 13} { 14} = \frac { 1} { x }#?
- How do you solve #\frac { - 6} { x - 3} = 1#?
- How do you rationalize the denominator in #(7+sqrt5)/(7-sqrt5)#?