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How are the processes of adding monomials and adding polynomial alike?
The processes of adding monomials and adding polynomials are alike in that both involve combining like terms, which are terms that share the same variable(s) raised to the same power. In both cases, the coefficients of these like terms are summed while the variable parts remain unchanged. Additionally, both processes require organization and simplification to achieve a final expression that is as simplified as possible. Overall, the fundamental principle of combining like terms underlies both operations.
What is an equivalent expression for 3f 4s 2f?
The expression (3f + 4s + 2f) can be simplified by combining like terms. Adding the terms with (f), we get (3f + 2f = 5f). Therefore, the equivalent expression is (5f + 4s).
What are 2 radicals similar?
2 radicals are similar (like terms) if, when in simplified form, the index is the same, and the radicand is the same. The coefficient may be different. EX: 3(sq root 2) and 5(sq root 2) are like terms, but 3(cube root 2) is not a like term for either.
What are the like radicals of squire root of 5?
Like radicals are terms that have the same radical part. The square root of 5, written as √5, has like radicals that are multiples of it, such as 2√5, -3√5, or 5√5. These terms all contain the same radical component (√5) and can be combined in algebraic expressions.
What is the practical use of HCF and LCM?
For adding and subtracting fractions with different denominators and reducing them to their lowest terms.
Two radical expressions with the same degree and the same are called like terms?
radicand
How are the processes of adding monomials and adding polynomial alike?
The processes of adding monomials and adding polynomials are alike in that both involve combining like terms, which are terms that share the same variable(s) raised to the same power. In both cases, the coefficients of these like terms are summed while the variable parts remain unchanged. Additionally, both processes require organization and simplification to achieve a final expression that is as simplified as possible. Overall, the fundamental principle of combining like terms underlies both operations.
Radicals with the same radicand and same index?
Like terms or like radicals
What is an equivalent expression for 3f 4s 2f?
The expression (3f + 4s + 2f) can be simplified by combining like terms. Adding the terms with (f), we get (3f + 2f = 5f). Therefore, the equivalent expression is (5f + 4s).
What are 2 radicals similar?
2 radicals are similar (like terms) if, when in simplified form, the index is the same, and the radicand is the same. The coefficient may be different. EX: 3(sq root 2) and 5(sq root 2) are like terms, but 3(cube root 2) is not a like term for either.
What are the like radicals of squire root of 5?
Like radicals are terms that have the same radical part. The square root of 5, written as √5, has like radicals that are multiples of it, such as 2√5, -3√5, or 5√5. These terms all contain the same radical component (√5) and can be combined in algebraic expressions.
What is the practical use of HCF and LCM?
For adding and subtracting fractions with different denominators and reducing them to their lowest terms.
When combining like terms do you add the exponents together?
Yes when multiplying. No when adding. 3n^3 + 3n^3 = 6n^3 3n^3 x 3n^3 = 9n^6
What is 9a 4a-5a?
The expression ( 9a + 4a - 5a ) can be simplified by combining like terms. Adding and subtracting the coefficients of ( a ), we get ( (9 + 4 - 5)a = 8a ). Therefore, the simplified expression is ( 8a ).
How do you simplify radicals with different indices?
To simplify radicals with different indices, first express each radical in terms of a common index. For example, convert square roots and cube roots to fractional exponents (e.g., ( \sqrt{a} = a^{1/2} ) and ( \sqrt[3]{b} = b^{1/3} )). Then, find a common denominator for the exponents to combine the terms. Finally, simplify the expression as needed and convert back to radical form if desired.
What property illutrated for 6x 2y 6x?
The expression (6x + 2y + 6x) illustrates the property of combining like terms. Here, the terms (6x) and (6x) are like terms, so they can be combined to simplify the expression to (12x + 2y). This showcases how to simplify algebraic expressions by adding coefficients of similar variables.
What is x plus 14x plus 40?
The expression ( x + 14x + 40 ) can be simplified by combining like terms. Adding ( x ) and ( 14x ) gives ( 15x ), so the expression simplifies to ( 15x + 40 ).
