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
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
one that won't talk to one another because they don't like each other... NO, seriously, they are terms that are different. For example x^2+2x+3x-4x^2. The x^2 terms are like terms and the x^2 terms and the x terms and unlike because they are different. Just like x and y, or apples and oranges.
3x**2+x-10 Multiply first and last terms 3*-10=-30 Find factors of -30 that add up to second term 6+-5=1 rewrite 3x**2-5x+6x-10 Factor pairs of terms 3x**2-5x+6x-10 = x(3x-5)+2(3x-5) Factor x(3x-5)+2(x-5) = (x+2)(3x-5)
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
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
To solve the equation -3 + 3x + 6x = 15, combine like terms: 9x - 3 = 15. Then, add 3 to both sides: 9x = 18. Finally, divide both sides by 9 to solve for x: x = 2.
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 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).