Question

A) -a +(2a - b); c) (x² − 3x − 3) + (−2x² −7); b) (15a - 12b) − (−7b); d) (x³ – 4x²) – (x³ - 6x² – 8x).​

Answer 1

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Answer 2

Let's simplify each of the expressions:

A) -a + (2a - b) = -a + 2a - b (using parentheses) = -a + 2a - b (grouping like terms) = (2a - a) - b (combining like terms) = a - b

B) (15a - 12b) - (-7b) = 15a - 12b + 7b (distributing the negative sign) = 15a - 5b

C) (x² - 3x - 3) + (-2x² - 7) = x² - 3x - 3 - 2x² - 7 (removing parentheses) = (x² - 2x²) - 3x - 3 - 7 (combining like terms) = -x² - 3x - 10

D) (x³ - 4x²) - (x³ - 6x² - 8x) = x³ - 4x² - x³ + 6x² + 8x (distributing the negative sign) = (x³ - x³) + (-4x² + 6x²) + 8x (combining like terms) = 2x² + 8x

Therefore, the simplified expressions are: A) a - b B) 15a - 5b C) -x² - 3x - 10 D) 2x² + 8x