Combining Like Terms

Minggu, 06 Maret 2022

 

Two or more terms are alike if they have the same variables and the exponents (or roots) on those variables are the same: 3x²y and 5x²y are like terms but 6xy and 4xy² are not. Constants are terms with no variables. The number in front of the variable(s) is the coefficient—in 4x²y³, 4 is the coefficient. If no number appears in front of the variable, then the coefficient is 1. Add or subtract like terms by adding or subtracting their.

 

Practice

 

1.     3xy + 7xy =

2.     4x² – 6x² =

3.     8√x – √x =

4.     5x√y + 7√(xy) + 1 – (3x√y - 7√(xy) + 4) =

5.     x²y + xy² + 6x + 4 – (4x²y + 3xy² – 2x + 5) =

 

Solutions

 

1.     3xy + 7xy = (3 + 7)xy = 10xy

 

2.     4x² – 6x² = (4 – 6)x² = – 2x²

 

3.     8√x – √x = (8 – 1)√x = 7√x

 

4.     5x√y + 7√(xy) + 1 – (3x√y – 7√(xy) + 4)

= 5x√y + 7√(xy) + 1 – 3x√y + 7√(xy) – 4

= 5x√y – 3x√y + 7√(xy) + 7√(xy) + 1 – 4

= (5 – 3)x√y + (7 + 7)√(xy) – 3

= 2x√y + 14√(xy) – 3

 

5.     x²y + xy² + 6x + 4 – (4x²y + 3xy² – 2x + 5) =

= x²y + xy² + 6x + 4 – 4x²y – 3xy² + 2x – 5

= x²y – 4x²y + xy² – 3xy² + 6x + 2x + 4 – 5

= (1 – 4)x²y +(1 – 3)xy² + (6 + 2)x – 1

= – 3x²y – 2xy² + 8x – 1

 

 

 

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Labels: Mathematician

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