from the sum of 5a²-4a+2 and -8a²+5a+7 subtract a²+7a-4
Answers
To Find :
- we need to subtract a² + 7a - 4 from the sum of 5a²-4a+2 and -8a²+5a+7
Solution :
Let's firstly find the sum of 5a²-4a+2 and -8a²+5a+7.
⇛5a² - 4a + 2 + (- 8a² + 5a + 7)
⇛5a² - 4a + 2 - 8a² + 5a + 7
⇛ 5a - 4a - 8a² + 5a² + 7 + 2
⇛ a - 3a² + 9
Now subtracting a² + 7a - 4 from a - 3a² + 9
⇛a - 3a² + 9 - (a² + 7a - 4)
⇛a - 3a² + 9 - a² - 7a + 4
⇛ - 4a²- 6a + 13
From the sum of 5a²-4a+2 and -8a²+5a+7 subtract a²+7a-4 we get - 4a²- 6a + 13.
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Answer:
-4a² - 6a + 13
Step-by-step explanation:
There are two parts of the questions.
PART I
Firstly we need to add 5a²-4a+2 and -8a²+5a+7.
Therefore,
5a² - 4a + 2 + ( -8a² + 5a + 7)
= 5a² - 4a + 2 -8a² + 5a + 7
= 5a² - 8a² - 4a + 5a + 2 + 7
= -3a² + a + 9
PART II
Now we need to subtract a²+7a-4 from -3a² + a + 9.
Therefore,
-3a² + a + 9 - (a²+7a-4)
= -3a² + a + 9 - a² - 7a + 4
= -3a² - a² + a - 7a + 9 + 4
= -4a² - 6a + 13
NOTE : WHILE ADDING OR SUBTRACTING ALGEBRAIC TERMS TRY TO GROUP THE LIKE TERMS TOGETHER. IF YOU DO THIS THERE IS VERY LESS CHANCE OF MISTAKE.
FINAL ANSWER : -4a² - 6a + 13
HOPE IT HELPS YOU :)
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