Yes, 3x and x are like terms because they have the same variable raised to the same power.
When combining like terms like 2x+3x we add their coeffitients, for example 2x+3x=(2+3)x=5x
The expression "negative x plus 3x" can be simplified by combining like terms. Negative x can be written as -1x, so the expression becomes -1x + 3x. When you combine -1x and 3x, you get 2x. Therefore, the simplified expression is 2x.
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
-4
The expression 10x + 7 + 3x can be simplified by combining like terms. Like terms are terms that have the same variable raised to the same power. In this case, the like terms are 10x and 3x, as they both have the variable x raised to the power of 1. Combining these like terms gives us 13x. Therefore, the simplified expression is 13x + 7.
3x + x = 4x
Collect like terms together: 3x - 7 - 4 - x = (3x - x) + (-7 - 4) = (3 - 1)x + (-11) = 2x - 11
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.
When combining like terms like 2x+3x we add their coeffitients, for example 2x+3x=(2+3)x=5x
-2x + 3x = -4 By combining like terms we get: x = -4.
They are terms that have the same variables like x, 2x and 3x or x2, 2x2 and 3x2
-3x-8+4x=17(-3x+4x)-8=17 ;combine like terms(x)-8=17 ;add 8 to both sidesx=25
They are terms that have the same variables like x, 2x and 3x or x2, 2x2 and 3x2
The expression "negative x plus 3x" can be simplified by combining like terms. Negative x can be written as -1x, so the expression becomes -1x + 3x. When you combine -1x and 3x, you get 2x. Therefore, the simplified expression is 2x.
To simplify the expression 8x - 8 - 4x - 3 - 3x, first combine like terms. Start by combining the x terms: 8x - 4x - 3x = x. Then, combine the constant terms: -8 - 3 = -11. Therefore, the simplified expression is x - 11.
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
-3 + 3x + 6x = 15 combine like terms 6x and 3x are like terms as are -3 and 15 9x = 18 x = 2