Simplify the following fractions.

Published on November 6, 2024

Pre-Algebra

The provided document details the simplification of algebraic fractions and the solution of algebraic expressions. Part 1 simplifies various rational expressions by factoring the numerators and denominators, canceling common factors. Part 2 involves adding, subtracting, and multiplying rational expressions, often requiring finding common denominators and simplifying the resulting expressions.

Question

first do to the 1-9 after do 1-11

Answer

Related math solutions

Solve for x in the equation 3^x - 2^x = 65

The equation 3^x - 2^x = 65 has a solution at x = 4.

Calculate the sum of the square roots of percentages.

The solution to the problem \sqrt{25\%} + \sqrt{49\%} is 1.2, which is equivalent to 120%.

Find the value of x in an equation with multiple roots of 17.

The solution to the equation involving radicals and exponents is x = 77/120.

Solve for the unknown variable in an equation.

The solution for X in the equation 2^X + 2 = 66 is 6.

Find the value of a in the equation a/2 / 5/2 = 2

To solve for a in the equation (a/2) รท (5/2) = 2, first rewrite the division as multiplication by the reciprocal, then multiply the numerators and denominators, simplify the fraction, isolate a by multiplying both sides by 10, and finally solve for a by dividing both sides by 2, resulting in a = 10.

Partial Fraction Decomposition of 1/(3x^2 + 4x + 1)

The rational function 1/(3x^2 + 4x + 1) is decomposed into partial fractions as (3/2)/(3x + 1) - (1/2)/(x + 1) by factoring the denominator and solving for the unknown constants using strategic values of x.

Finding the value of c in a subtraction problem with variables

To find the difference between ba and ab, where a and b are digits, we analyze the units and hundreds digits, leading to the conclusion that the hundreds digit of the difference is 3.