Binomial sometimes can extend to get the right results or correct order
The answer to the expression -3t x 7t is -21t². This is obtained by multiplying the coefficients (-3 and 7) to get -21, and then multiplying the variable terms (t x t) to get t².
The expression ( 5x \times -2 ) simplifies to ( -10x ). This is obtained by multiplying the coefficients (5 and -2) together, resulting in -10, and keeping the variable ( x ). Thus, the final answer is ( -10x ).
A boolean is an expression obtained in relational operators.
The expression (3x \cdot 2y) represents the multiplication of the two terms. When multiplied together, it equals (6xy). This is obtained by multiplying the coefficients (3 and 2) to get 6, and then combining the variables (x) and (y).
Pascal's triangle is a convenient listing of the coefficients obtained from raising a binomial to a whole number power. The triangle begins with 1 in the first row, 1,2,1 in the second, 1,3,3,1 in the third, 1, 4,6,4,1 in the fourth row and so on. These numbers represent the coefficients of (x+y)^ 0, (x+y)^1, (x+y)^2, (x+y)^3 and (x+y)^4.
The sum of two binomials is obtained by adding their corresponding terms, resulting in a new binomial that combines the like terms. For example, the sum of ( (a + b) ) and ( (c + d) ) is ( (a + b + c + d) ). The difference of two binomials is found by subtracting the corresponding terms, leading to a new binomial as well; for instance, the difference of ( (a + b) ) and ( (c + d) ) is ( (a + b - c - d) ). In both cases, the final expression may be simplified if there are like terms.
To accurately answer your question about the degree and classification of the expression obtained in Part A, I would need more specific information about that expression. Generally, the degree of an expression refers to the highest power of the variable present, while classification can involve identifying whether the expression is polynomial, rational, exponential, etc. Please provide the expression for a precise analysis.
The correct answer is 720. This is obtained by multiplying the binomial coefficients C(10,1), C(9,1) and C(8,1). However, if you would not like the first digit to be a zero, then the answer changes slightly. There are now 648 solutions. This is found by counting all 3 digit combinations in which zero is last, second, and not involved.
According to principle of duality"Dual of one expression is obtained by replacing AND (.)with OR(+) and OR with AND together with replacement of 1 with 0 and 0 with 1. For example: consider the expression A+B=0. The dual of this expression is obtained by replacind + with . and 0 by 1. ie A.B=1 is dual of A+B=0
Is the value obtained when all the variables have been given their value and the expression has been calculated according to mathematical rules.
A binomial number (not bionmoial) is defined as a number that is obtained only by evaluating a two term homogeneous polynomial. This number is found in mathematical theory.
The cube of a binomial refers to the expression obtained when a binomial is raised to the third power, typically represented as ((a + b)^3). It can be expanded using the formula ((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3). This expansion includes the individual cubes of the terms and three times the product of each term squared multiplied by the other term. The formula can also be applied to binomials in the form ((a - b)^3), with a similar expansion that incorporates negative signs appropriately.