Add, Subtract Polynomials

A mathematician named Dr. Euler is working on polynomial expressions for a new mathematical model and encounters the following problem while simplifying an equation:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

• -14p⁴ + 9p³ - 6

• -14p⁴ + 9p³ + 6

• -14p⁴ + 9p³ - 1

• -15p⁴ + 9p³ + 6

Lisa and John are comparing their savings over the year. Lisa's savings can be represented by the polynomial (3- 2x + 2x²), indicating her savings in thousands over x months, while John's savings are represented by (4x -5 +3x²), also in thousands over x months. Calculate the difference between Lisa's and John's savings. 

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Dr. Smith, a mathematician, is analyzing the growth patterns of two different species of plants over time. She models the growth of each species with polynomial equations and decides to compare their growth by subtracting the polynomial equation of species B from species A: (5x⁴ – 4x³ – 2x² + x – 19) – (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ – 9x³ – 10x² – 24

• 4x⁴ – 9x³ – 10x² – 2x – 24

• 4x⁴ – 9x³ – 10x² + 2x – 24

• -4x⁴ – 9x³ – 10x² – 24

Alice and Bob are playing with numbers. Alice writes down the equation 
(3- 2x + 2x²) and Bob writes down (4x -5 +3x²). Find the difference between Alice's and Bob's equations.

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

• 4g²-2g

• 4g²+4g-6

• 6g²+2g+6

• 4g²+2g

• 3x³+5x²+3x+15

• 3x³+6x²+3x+16

• 3x³+6x²+3x+15

• 2x³+5x²+2x+16

Subtract the polynomials. Enter the correct answer.

Mathematical Equivalence

OFF

Simply:

• -1k⁴ +17k² +22

• -7k⁸ + 11k⁴-6

• -7k⁴ - 11k² +6

• 7k⁴ - 5k²

Subtract the polynomials. Enter the correct answer.

Mathematical Equivalence

OFF

Find the sum

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