how to add and subtract dissimilar rational algebraic expression?
23725
If the two rational expressions that you want to add or subtract have the same denominator you just add/subtract the numerators which each other. When the denominators are not the same in all expressions that you want to add or subtract as in the example below you have to find a common denominator.
766301
To add two or more monomials that are like terms, add the coefficients; keep the variables and exponents on the variables the same. To subtract two or more monomials that are like terms, subtract the coefficients; keep the variables and exponents on the variables the same.
27795
A rational expression does not start with an "equals" sign. It is not a full equation. A rational equation does start out as an equation, complete with "equals" sign. ... If you are faced with the sum or difference of two rational expressions, find the least common denominator.
398431
To subtract one polynomial, called the subtrahend, from another polynomial, called the minuend, add the minuend to the additive inverse of the subtrahend and combine like terms. The additive inverse of a polynomial is the additive inverse of every term in the polynomial.
665757
As shown, both terms are equal to 192. To add two or more monomials that are like terms, add the coefficients; keep the variables and exponents on the variables the same. To subtract two or more monomials that are like terms, subtract the coefficients; keep the variables and exponents on the variables the same.
507270
To add or subtract or multiply polynomials, remove parentheses and combine like terms. For multiplying, this amounts to multiplying each term in one polynomial by each term in the other. To multiply terms, multiply the coefficients and add the exponents on each variable.
1289239
['Subtract xy from 10xy. Here, 10xy, xy are like terms. The difference of the coefficients = 10 - 1, [xy means 1xy] ... ', 'Subtract 4x from -8x. Here, 4x and -8x are like terms. ... ', 'Subtract -3x from -7x. Here, -3x and -7x are like terms. ... ', '15x - 4x - 12y - 3y. Here, 15x and 4x are like terms. ... ', 'Subtract 4x + 3y + z from 2x + 3y - z.']
846714
['Use synthetic division to divide the polynomial by (x−k).', 'Confirm that the remainder is 0.', 'Write the polynomial as the product of (x−k) and the quadratic quotient.', 'If possible, factor the quadratic.']
488033
The simplified product must have the same restrictions. In general, the product of two rational expressions is undefined for any value that makes either of the original rational expressions undefined.
19410
['Make sure the bottom numbers (the denominators) are the same.', 'Subtract the top numbers (the numerators). Put the answer over the same denominator.', 'Simplify the fraction (if needed).']
239462
When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
263103
['Remove Common Factors if possible.', 'If the coefficient of the x2 term is 1, then. x2 + bx + c = (x + n)(x + m), where n and m. · Multiply to give c. · Add to give b.', 'If the coefficient of the x2 term is not 1, then use either. Guess-and Check. List the factors of the coefficient of the x2 term.']
234638
['Find the GCF of all the terms in the polynomial.', 'Express each term as a product of the GCF and another factor.', 'Use the distributive property to factor out the GCF.']
149458
['Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).', 'Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.', 'Then add (or subtract) the fractions, as we wish!']
1080414
To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 5 + 3i and 4 + 2i is 9 + 5i. For another, the sum of 3 + i and –1 + 2i is 2 + 3i. Addition can be represented graphically on the complex plane C.
37669
['Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.', 'Step 2: Rewrite the middle with those numbers:', 'Step 3: Factor the first two and last two terms separately:']
1393751
['Answer:', 'Step-by-step explanation:', 'Given the rational numbers.', 'Average value is calculated by adding the numbers divided by total count of numbers.']