Addition and Subtraction

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Addition is a type of arithmetic operation which combines two numbers or terms into a single number or term.
Subtraction is just opposite to addition. It is the difference of numbers or terms. The resultant can be either positive or negative. If both the terms are equal then the resultant is zero.

If two sides of an equation are equal like a= b, then if we add or subtract the same value on both sides still it will be equal.  
                        x = y
                        x + p = y + p
                        x – p = y - p
1) Fill in the blank
___- 23 = -17
Answer: 6
2) Add 3x² + 5x + 2 and 4x² +2x +10
Answer: (3x² + 5x + 2) + (4x² +2x +10)
= (3x² + 4x²) + (5x+2x) + (2+10)
= 7x² + 7x +12
3) Simplify (8x² + 9x -3) – (4x² -4x +7)
Answer: 8x² + 9x -3 - 4x² + 4x -7
= (8x² - 4x²) + (9x +4x) – (3 + 7)
= 4x² + 13x – 10
4) Simplify (8x³ +2x + 1) + (6x² - 3x)
Answer: 8x³ + 2x + 1 + 6x² - 3x
= 8x³ + 6x² + (2x – 3x) + 1
= 8x³ + 6x² - x + 1
5) n + 9 = 42, 12 + p = n, Solve for n and p
Answer: n + 9 = 42
n = 33
12 + p = 33
P = 21

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