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In the expression (3x^2y^4), the coefficient is the numerical factor that multiplies the variables. Here, the coefficient is 3, while (x^2) and (y^4) are the variable parts of the expression. Thus, the entire expression can be interpreted as 3 times (x) squared times (y) raised to the fourth power.
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What is the coefficients of the expression 8-5x-4 plus 3x?
-5 & 3
What are the coefficients in this problem 3x - 4y plus 2?
They are 3 and 4
What is 3x - 4 2(2 4x)?
To simplify the expression (3x - 4 + 2(2 + 4x)), first distribute the (2) in the second term: (2(2) + 2(4x) = 4 + 8x). Now, combine it with the rest of the expression: (3x - 4 + 4 + 8x). This simplifies to (3x + 8x - 4 + 4 = 11x). Thus, the simplified expression is (11x).
What does identify the like terms mean?
Identifying like terms means recognizing terms in an expression that have the same variable raised to the same power. For example, in the expression (3x^2 + 5x - 2x^2 + 4), the like terms are (3x^2) and (-2x^2) because they both contain (x^2). Combining like terms involves adding or subtracting their coefficients to simplify the expression.
What is x2 times 3x2?
To multiply ( x^2 ) by ( 3x^2 ), you multiply the coefficients and add the exponents of the like bases. This results in ( 1 \cdot 3 ) for the coefficients, which equals 3, and ( x^2 \cdot x^2 ) gives ( x^{2+2} = x^4 ). Therefore, ( x^2 \times 3x^2 = 3x^4 ).
What is the coefficients of the expression 8-5x-4 plus 3x?
-5 & 3
What are the coefficients in this problem 3x - 4y plus 2?
They are 3 and 4
What is 3x - 4 2(2 4x)?
To simplify the expression (3x - 4 + 2(2 + 4x)), first distribute the (2) in the second term: (2(2) + 2(4x) = 4 + 8x). Now, combine it with the rest of the expression: (3x - 4 + 4 + 8x). This simplifies to (3x + 8x - 4 + 4 = 11x). Thus, the simplified expression is (11x).
What is the answer to 3x plus 3y?
The expression 3x + 3y is a linear combination of two variables, x and y, with coefficients 3. The answer to this expression depends on the specific values of x and y. If x = 2 and y = 4, then the answer would be 3(2) + 3(4) = 6 + 12 = 18. In general, the answer to 3x + 3y is 3 times the sum of x and y.
Generating equivalent expression 3x-9 plus 3x plus 5?
The equivalent expression of 3x-9 plus 3x plus 5 is negative 4.
What does identify the like terms mean?
Identifying like terms means recognizing terms in an expression that have the same variable raised to the same power. For example, in the expression (3x^2 + 5x - 2x^2 + 4), the like terms are (3x^2) and (-2x^2) because they both contain (x^2). Combining like terms involves adding or subtracting their coefficients to simplify the expression.
What is x2 times 3x2?
To multiply ( x^2 ) by ( 3x^2 ), you multiply the coefficients and add the exponents of the like bases. This results in ( 1 \cdot 3 ) for the coefficients, which equals 3, and ( x^2 \cdot x^2 ) gives ( x^{2+2} = x^4 ). Therefore, ( x^2 \times 3x^2 = 3x^4 ).
-3x6y4x-3y-2 Which what is the simplest form of this expression?
To simplify the expression (-3x^6y^4x^{-3}y^{-2}), first combine the like terms. The expression can be rewritten as (-3x^{6-3}y^{4-2}), which simplifies to (-3x^3y^2). Thus, the simplest form of the expression is (-3x^3y^2).
What expression is equivalent to 2(3x 4)-3(x-5)?
2(3x + 4) = 6x + 8 3(x - 5) = 3x - 15 6x + 8 - 3x + 15 = 3x + 23
What is the degree of x4 and ndash 3x plus 2?
The expression ( x^4 - 3x + 2 ) contains three terms: ( x^4 ), ( -3x ), and ( 2 ). The degree of a polynomial is determined by the highest power of the variable ( x ) present in the expression. In this case, the term ( x^4 ) has the highest degree, which is 4. Therefore, the degree of the polynomial ( x^4 - 3x + 2 ) is 4.
What expression is equivalent to 4?
2(3x + 4) = 6x + 8 3(x - 5) = 3x - 15 6x + 8 - 3x + 15 = 3x + 23
What is equivalent to 3(x-4)-2(x plus 1)-x using distributive property?
To simplify the expression (3(x-4) - 2(x+1) - x) using the distributive property, first distribute the coefficients: (3(x-4) = 3x - 12) (-2(x+1) = -2x - 2) Now, combine all parts: [3x - 12 - 2x - 2 - x] Combine like terms: [(3x - 2x - x) + (-12 - 2) = 0x - 14] Thus, the expression simplifies to (-14).
