Simplifying Radicals & Polynomial Expressions

Single Expression

100

Simplify √200

What is 10√2?

200

Simplify √98

What is 7√2?

300

Simplify √75

What is 5√3?

400

Simplify -√120

What is -2√30?

500

Simplify 5√320

What is 40√5?

Variable Factors

100

Simplify √(28n^2 )

What is 2n√7?

200

Simplify √(12x^2 )

What is 2x√3?

300

√(4n^3)

What is 2n√n?

400

√(20a^5)

What is 2a^2√(5a)?

500

-√(48b^4)

What is -4b^2√3?

Multiplying Polynomial Expressions

100

3x²(5x³+4)

What is 15x⁵+12x²?

200

(2x-5)(x+7)

What is 2x²+9x-35?

300

(x+8)(x-8)

What is x²-64?

400

(x+11)²

What is x²+22x+121?

500

(3x-1)²

What is 9x²-6x+1?

Adding Polynomial Expressions

100

(3+2x³-7x)+(3x³-7x-5)

What is 5x³-14x-2?

200

(6k+8k⁴+2)+(6-2k⁴-6k)

What is 6k⁴+8?

300

(b²-3b³-4b)+(b²-3b³+4b)

What is -6b³+2b²?

400

(6k²-5k³-7)+(6k³+8-2k²)

What is k³+4k²+1?

500

(7m⁴+5m³+8)+(4+5m³+6m²)

What is 7m⁴+10m³+6m²+12?

Subtracting Polynomial Expressions

100

(5-6r³-5r⁴)-(6+8r⁴)

What is -13r⁴-6r³-1?

200

(5k²+k⁴-2k)-(2k²-4k⁴)

What is 5k⁴+3k²-2k?

300

(8+3x²-5x)-(3+x+2x²)

What is x²-6x+5?

400

(8v+3v³-8)-(7-v-7v³)

What is 10v³+9v-15?

500

(4n+7n⁴+2n²)-(n⁴-3n³+2n²)

What is 6n⁴+3n³+4n?