Subtraction of algebraic expressions are explained in each steps:
Steps I: Arrange the terms of the given expressions in the same order.
Steps II: Write the given expressions in two rows in such a way that the like terms occur one below the other, keeping the expression to be subtracted in the second row.
Steps III: Change the sign of each term in the lower row from + to - and from - to +.
Steps IV: With new signs of the terms of lower row, add column wise.
1. Subtract 4a + 5b - 3c from 6a - 3b + c
Solution:
6a - 3b + c
+ 4a + 5b - 3c
(-) (-) (+)
_____________
2a - 8b + 4c
_____________
2. Subtract 3x² - 6x - 4 from 5 + x - 2x².
Solution:
Arranging the terms of the given expressions in descending powers of x and subtracting column-wise;
- 2x² + x + 5
+ 3x² - 6x - 4
(-) (+) (+)
_____________
- 5x² + 7x + 9
_____________
3. Subtract 3x + y – 3z from 9x – 5y + z
Solution:
9x – 5y + z
+ 3x + y – 3z
(-) (-) (+)
_____________
6x – 6y + 4z
_____________
● Algebraic Expression
Algebraic Expression
Addition of Algebraic Expressions
Subtraction of Algebraic Expressions
Multiplication of Algebraic Expression
Division of Algebraic Expressions
8th Grade Math Practice
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