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.
-5 & 3
They are 3 and 4
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).
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 ).
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).
-5 & 3
They are 3 and 4
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.
The equivalent expression of 3x-9 plus 3x plus 5 is negative 4.
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 ).
2(3x + 4) = 6x + 8 3(x - 5) = 3x - 15 6x + 8 - 3x + 15 = 3x + 23
2(3x + 4) = 6x + 8 3(x - 5) = 3x - 15 6x + 8 - 3x + 15 = 3x + 23
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).
2(3x + 4) = 6x + 8 3(x - 5) = 3x - 15 6x + 8 - 3x + 15 = 3x + 23
The coefficients of the unknown variables are 3 and -4 respectively and the given quadratic expression can be factored as (3x-1)(x-1)
It is a quadratic expression and is (3x+2)(x-2) when factored
(x-4)(3x-2)/(x-4) is equivalent to 3x-2 except when x=4.