Yes, 3x and x are like terms because they have the same variable raised to the same power.
3x + x = 4x
Like terms in mathematical problems are two variables that are the same. An example is 3x, x, 76x; because they all share x, they are like terms.
Collect like terms together: 3x - 7 - 4 - x = (3x - x) + (-7 - 4) = (3 - 1)x + (-11) = 2x - 11
-2x + 3x = -4 By combining like terms we get: x = -4.
When combining like terms like 2x+3x we add their coeffitients, for example 2x+3x=(2+3)x=5x
They are terms that have the same variables like x, 2x and 3x or x2, 2x2 and 3x2
-3 + 3x + 6x = 15 combine like terms 6x and 3x are like terms as are -3 and 15 9x = 18 x = 2
They are terms that have the same variables like x, 2x and 3x or x2, 2x2 and 3x2
Multiply each term of the second expression by each of the terms in the first expression and add them together, collecting like terms together: (x - 6)(3x² + 10x - 1) = x(3x² + 10x - 1) + (-6)(3x² + 10x - 1) = (3x³ + 10x² - x) + (-18x² - 60x + 6) = 3x³ + 10x² - 18x² - x - 60x + 6 = 3x² + (10 - 18)x² + (-1 - 60)x + 6 = 3x² - 8x² - 61x + 6
The expression reads as this: -3x-7+x-9 Combine like terms. -3x+x-7-9 -2x-16 If you would like to factor the expression, you can take out the coefficient -2, giving you -2(x+8).
6y-3x-9(1-1)=6y-3x-9(0)=6y-3x-0=6y-3xOnly like terms can be simplified. A like term has the same variables, X and Y are different variables. 6y-3x cannot be simplified because they are not like terms.
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