# Combining Polynomials Exercises

### Example 1

Add the following polynomials:

(3*x*^{27} + 4*x*^{20} – 6*x*^{11} + *x*) + (*x*^{26} + 6*x*^{20} + 8*x*^{11} – *x*)

### Example 2

Add the following polynomials:

(-2*x*^{10} + 13*x*^{7} – 4*x* + 9) + (7*x*^{10} – 12*x*^{7} – 8*x* – 1)

### Example 3

Add the following polynomials:

(17*x*^{2} + 14*x* + 3) + (-3*x*^{2} + 10)

### Example 4

Add the following polynomials:

(4*x* + *xy* – 2*y*) + (3*x* – 4*xy* + *y*^{2})

### Example 5

Add the following polynomials:

(2*x*^{2}*y* + 4*xy*^{2}) + (3*xy*^{2} – *x*^{2}*y*)

### Example 6

Subtract the following polynomials:

(4*x*^{2} – 3*x* + 9) – (2*x*^{2} + *x* + 1)

### Example 7

Subtract the following polynomials:

(7*x*^{3} + 2*x* – 4) – (-*x*^{3} + 3*x* – 5)

### Example 8

Subtract the following polynomials:

(-10*x*^{4} – 6*x*^{3} + *x*) – (-2*x*^{4} – *x*^{2} + 4*x*)

### Example 9

Subtract the following polynomials:

(2*xy* + *x*^{2}*y* + 3*xy*^{4}) – (*xy* – *xy*^{2} + 2*xy*^{4})

### Example 10

Subtract the following polynomials:

(-13*x*^{2}*y* + 2*xy* – *y*^{2}) – (-*x*^{2}*y* + 2*xy* + *y*^{2})