review

Solving Radicals

100

sqrt(2x-8)=sqrt(x-4)

x=4

200

sqrt(6x)+1=37

x=216

300

16=2sqrt(x-4)

x=68

400

2sqrt(4x-7)+3=13

x=8

500

sqrt(36x)=x

x=0, x=36

Adding Polynomials

100

(4+2n^3)+ (5n^3 +2)

 7n^3 +6

200

 (5p^2 -3) + (2p^2 -3p^3)

 -3p^3 +7p^2-3

300

(-4k^4 +14 +3k^2) + (-3k^4 -14k^2 -8) 

-7k^4 -11k^2 +6 

400

(13n^2 +11n-2n^4) + (-13n^2 -3n -6n^4) 

-8n^4 + 8n 

500

(-10k^2 +7k+6k^4)+ (-14 -4k^4-14k)

2k^4 -10k^2 -7k -14 

Subtracting Polynomials

100

(5x+4)-(5x+3) 

1

200

(3a^2 +1)-(4+2a^2) 

a^2 -3 

300

(3x^4 -3x) - (3x -3x^4)  

 6x^4 -6x

400

(12a^5 -6a -10a^3)-(10a -2a^5 -14a^4) 

14a^5 +14a^4 -10a^3 -16a

500

(14p^4 +11p^2 -9p^5)-(-14+5p^5 -11p^2) 

-14p^5 +14p^4 +22p^2 +14 

Multiplying Polynomials

100

8(2x+6y)

16x+48y

200

4n(6n+7)

4n^2 +28n 

300

(-5n + 8)(-8n - 4)

40n^2 -44n -32 

400

(-2x + 7)(8x^2 +5x +4) 

-16x^3 + 46x^2 +27x+28 

500

(4x^2 +4x +2)(-6x^2 -6x -4)

-24x^4 -48x^3 -52x^2 -28-8 

Special Cases

100

(2x+1)^2 

4x^2 +4x+1

200

(1-4x)^2

16x^2 -8x+1 

300

(2x^2 + 4y^3 )^2

4x^4 +16x^2y^3 + 16y^6 

400

(5x-3)(5x+3) 

25x^2 -9 

500

(13x+14y)(13x-14y)

169x^2 - 196y^2