Addition and Subtraction of Polynomials

(3a2 - 5ab + b2) - (-3a2 + 2b2 + 8ab) = 6a² - 13ab - b²6a² - 3ab - 3b²-13ab - b²-3ab - 3b²

a

(3a2 - 5ab + b2) + (-3a2 + 2b2 + 8ab)Which of the following shows the sum of the polynomials rewritten with like terms grouped together?

a) [3a2 + (-3a2)] + (-5ab + 8ab) + (b2 + 2b2)

Choose the correct values for A, B, C, and D that align like terms to find the sum vertically. 1.3t3 + 0.4t2 + (-24t)

b

Complete the tasks to subtract the polynomials vertically.(1.3t3 + 0.4t2 - 24t) - (0.6t2 + 8 - 18t) What is the additive inverse of the polynomial being subtracted?

b

The diagram shows the plans for the triangular park. How much longer is BC than AC?

b

Use your result from the previous task to find the sum.

b) 3ab + 3b2

What is the difference of the polynomials?

c

Which equivalent expression would you set up to verify the associative property of addition for(3x + 4) + ((5x2 - 1) + (2x + 6))?

c) ((3x + 4) + (5x2 - 1)) + (2x + 6)

After you rewrite subtraction as addition of the additive inverse, how can the like terms be grouped?

c) (3a2 + 3a2) + [-5ab + (-8ab)] + [b2 + (-2b2)]

Use the expression below to complete the following tasks.(3a2 - 5ab + b2) - (-3a2 + 2b2 + 8ab) What is the additive inverse of the polynomial being subtracted?

c) 3a2 - 2b2 - 8ab

Add (1.3t3 + 0.4t2 - 24t) + (8 - 18t + 0.6t2)For each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically. 1.3t3 + 0.4t2 + (-24t)

1)b 2)a 3)d 4)c

What is the sum of the polynomials?

1.3t3 + t2 - 42t + 8

The diagram shows the plans for the triangular park. What is the perimeter of the park? The perimeter is x2 + x - () feet.

3 37 4

To verify the associative property of addition, begin by finding the sum of the polynomials: (3x + 4) + ((5x2 - 1) + (2x + 6))

5x^2 5x 9