1
Question
(i) solve 12x² - 9y + 129 - 16x²
(ii)find the sum of 9my + 10my² and -9xy - 20my²
(iii) 56c - 10c² is subtracted from the sum of 10c² and (-96c² -23c). Find the desired result.
(i) solve 12x² - 9y + 129 - 16x²
(ii)find the sum of 9my + 10my² and -9xy - 20my²
(iii) 56c - 10c² is subtracted from the sum of 10c² and (-96c² -23c). Find the desired result.
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Solution
(i) 12x² - 9y + 129 - 16x²
= 12x² - 16x² - 9y + 129
= -4x² -9y + 129
(ii) (9my + 10my²) + (-9xy - 20my²)
= 9my + 10my² -9xy -20my²
= 9my -9xy + 10my² -20my²
= 9my -9xy -10my²
= 9y(m-x) -10my²
(iii) Initially, let's find the sum of 10c² and (-96c² -23c)
= 10c² + (-96c² -23c)
= 10c² -96c² -23c
= -86c² - 23c
Now 56c - 10c² needs to be subtracted from -86c² - 23c
= -86c² - 23c - (56c - 10c²)
= -86c² - 23c - 56c + 10c²
= -86c² + 10c² - 23c - 56c
= -76c² -79c
(i) 12x² - 9y + 129 - 16x²
= 12x² - 16x² - 9y + 129
= -4x² -9y + 129
(ii) (9my + 10my²) + (-9xy - 20my²)
= 9my + 10my² -9xy -20my²
= 9my -9xy + 10my² -20my²
= 9my -9xy -10my²
= 9y(m-x) -10my²
(iii) Initially, let's find the sum of 10c² and (-96c² -23c)
= 10c² + (-96c² -23c)
= 10c² -96c² -23c
= -86c² - 23c
Now 56c - 10c² needs to be subtracted from -86c² - 23c
= -86c² - 23c - (56c - 10c²)
= -86c² - 23c - 56c + 10c²
= -86c² + 10c² - 23c - 56c
= -76c² -79c
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