1. Subtracting polynomials

2. What is different about subtracting polynomials from adding?
Taking away instead of combining like terms
Simplify (3x2 + 7x + 9) – (7x – 8).
3x2 + (7x - 7x) + (9 – – 8)
3x2 + 17
Simplify (3x2 + 2x – 1) – (x2 – 4x – 7).
3x2 + 2x – 1
– (x2 – 4x – 7)
2x2 + 6x + 6

3. Simplify (x3 + 11x2 + 32x + 28) cm3 – (x3 – x2 + 12x – 11) cm3.
What is the square footage of the Bradleys’ house if the garage space of (2x2 – x + 21) ft2 is deducted from the total square footage of (35x2 + 20x – 56) ft2?
(35x2 + 20x – 56) - (2x2 – x + 21)
(35x2 - 2x2 ) + (20x – - x) + ( )
33x2 + 21x - 77  ft2
Simplify (x3 + 11x2 + 32x + 28) cm3 – (x3 – x2 + 12x – 11) cm3.
(x3 - x3 ) + (11x2 – x2) + (32x - 12x) + (28 – - 11)
10x2 + 20x + 39 cm3