Multiply
Simplify
Degree of Polynomial
Mixed
Challenge
100

(a + 1)(3a - 5)  

3a^2 - 2a - 5

100

(-10x^3y)(3x^2y^4) + (5x^3y^2)(-4x^2y^3)

-50x^5y^5

100

18x2 + 7xy+ 8 

2

100

(x3 + x2 + x + 1)(x - 1) + x3(x - 1)

2x4 - x3 - 1

100

If a + b = 1, ab = - ¾, find the value of (a + 2) (b + 2)

5 1/4

200

(4p - 7q)^2

16p^2 - 56pq + 49q^2

200

 8x(x2 - 2) - 3(2x2 + 1)

8x3 - 6x2 - 16x - 3 

200

25x3y + 15x2 + 9

4

200

Solve:

(x + 3)2 - (x - 2)2 = 55

x = 5

200

If a + b = 1, ab = - ¾, find the value of (a - 3) (b - 3)

5 1/4

300

(y + 7) (y - 7)

y^2 - 49

300

 4a(6a - b) - 3(2a + 3b) - 5(a - 3)

24a2 - 11a - 4ab - 9b + 15 

300

19x2 + 7x - 19x2 + 5x 

1

300

(4x2 + 3x - 1)2 + (3x + 1)(2x - 3)  

16x4 + 24x3 + 7x2 - 13x - 2 

300

A poster is 25 cm taller than it is wide. It is mounted on a piece of cardboard so that there is a 5 cm border on all sides. If the area of the border alone is 1350 cm2, what are the dimensions of the poster?

50 cm by 75 cm

400

(x + y + z)(x + y - z) 

x2 + 2xy + y2 - z2

400

(7x2 - 3x - 2) - (x2 - 7x - 15)  

6x2 + 4x + 13

400

8x4y2 + 7x2y3 + y4

6

400

(a + b)3

a3 + 3a2b + 3ab2 + b3

400

 If (x - y)2 = 50 and x2 + y2 = 20, find the value of  (x + y)2

-10

500

(5x - 2)(3x + 1)(x - 4)

15x3 - 61x2 + 2x + 8 

500

2s2 - [(s3 - 4s + t) - (s3 - 8s + 5t)]

2s2 - 4s + 4t 

500
x4 - 1 + x4 - x3

4

500

Solve:

(2x - 3)(x + 3) = (x - 3)2 + (x + 3)2

x = 9 

500

Find the value of (x+y)2 if x- y2= -12 and y - x = 2

36

M
e
n
u