Subtract the sum of 3a² -2a +5 and a²-5a-7 from the sum of 5a²- 9a+3 and 2a-a² -1.
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Answer:
= 2a² - 4a + 4
Step-by-step explanation:
First We Will Do Addition of equations One by one
= (3a² -2a +5) + (a² - 5a - 7)
Taking like Terms Aside
= (3a² + a²) + (-2a - 5a) + (5 - 7)
= (4a²) + (-7a) + (-2)
= 4a² -7a - 2
Now Second,
= (5a²- 9a + 3) + (2a - a² - 1 )
Taking Terms In Descending order of powers
= (5a² - 9a + 3) + (a² - 2a -1)
Taking like Terms Aside
= (5a² + a²) + (-9a -2a) + (3 - 1)
= (6a²) + (-11a) + (2)
= 6a² - 11a +2
Now Subtracting,
= (6a² - 11a +2) - (4a² -7a - 2)
= (6a² - 4a²) + (-11a + 7a) + ( 2 + 2)
= 2a² - 4a + 4
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