Simplifying and Factoring Algebraic Expression

Simplifying A

100

(5-3x) - (2x-8)

13-5x

200

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

10x+5

300

8(2y+5) - 7(y-9)

9y+103

400

4(x²-3x+5) - 3(x²-2x+1)

x²-6x+17

500

v³(v-9) - 2v²(2-2v) - (3v²+v⁴)

-5v³-7v²

Simplifying B

100

(s+8)(s-2)

s²+6s-16

200

(3t-2)(7t-4)

21t²-26t+8

300

(6u+5v)(u-2v)

6u²-7uv-10v²

400

(1+2x)(x²-3x+1)

2x³-5x³-x+1

500

[(2x-1)+x²] [(2x-1)-x²]

-x⁴+4x²-4x+1

Factoring A

100

12x³+18x

6x(2x²+3)

200

x²-2x-8

(x-4)(x+2)

300

z²+10z-24

(z+12)(z-2)

400

3m³+6m²+3m

3m(m+1)²

500

r⁴-21r³+54r²

r²(r-18)(r-3)

Factoring B

100

y(y-6) + 9(y-6)

(y+9)(y-6)

200

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

2(x+2)(x-5)

300

2x²-5x-7

(2x-7)(x+1)

400

5p²-7p-6

(5p+3)(p-2)

500

6x²+23x-18

(2x+9)(3x-2)

Random

100

Simplify: (x²-y²)²

x⁴-2x²y²+y⁴

200

Factor: (z+2)² - 5(z+2)

(z+2)(z-3)

300

Simplify: (1-b)²(1+b)²

1-2b²+b⁴

400

Factor: (3x+2)² + 11(3x+2) - 12

(3x+14)(3x+1)

500

Factor: x²(4x²-1) - 9(4x²-1)

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