Q 4. Add the following algebraic expressions: a. 6a + 8b - 7c, 2b + c - 4a and a - 3b - 2c b. 5x² + 7y - 8, 4y + 7 - 2x² and 6 – 5y + 4x² c. 8x² - 5xy + 3y², 2xy - 6y² + 3x² and y² + xy - 6x² d. 11a² + 8b² - 9c², 5b² + 3c² - 4a² and 3a² - 4b² - 4c²
Answers
a. (6a + 8b - 7c) + (2b + c - 4a) + (a - 3b - 2c)
= 6a + 8b - 7c + 2b + c - 4a + a - 3b - 2c
Arrange the like terms together, then add.
Thus, the required addition
= 6a - 4a + a + 8b + 2b - 3b - 7c + c - 2c
= 3a + 7b - 8c
b. Add: 5x² + 7y - 8, 4y + 7 - 2x² and 6 – 5y + 4x².
5x² + 7y - 8
- 2x² + 4y + 7
4x² – 5y + 6
___________
7x² + 6y + 5
___________
= 7x² + 6y + 5
c. 8x² - 5xy + 3y², 2xy - 6y² + 3x² and y² + xy - 6x².
8x² - 5xy + 3y²
3x² - 2xy - 6y²
-6x² + xy + y²
_____________
5x² - 2xy - 2y²
_____________
= 5x² - 2xy - 2y²
d. 11a² + 8b² - 9c², 5b² + 3c² - 4a² and 3a² - 4b² - 4c²
11a² + 8b² - 9c²
- 4a² + 5b² + 3c²
3a² - 4b² - 4c²
________________
10a² + 9b² - 10c²
________________
= 10a² + 9b² - 10c²
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