Mathematics

Add: (3x² + 2x - 1) + (x² - 4x + 3)

• 4x² - 2x + 2

• 2x² + 6x + 2

• 4x⁴ - 2x² + 2

• 2x⁴ + 6x² + 2

(5x² - 3x + 2) - (2x² + x - 1)

• 3x² - 4x + 3

• 7x² - 2x + 1

• 3x² - 2x + 1

• 7x² - 4x + 3

Simplify: [(x + y)² - (x - y)²] / 4xy

• 1

• 2

• 0

• 6

[(x + 2)³ - (x - 2)³] / 8x

• 3x² + 4

• 3x² - 4

• 3x + 4

• 3x - 4

If x + y = 5 and xy = 6, find the value of x² + y².

• 15

• 13

• 25

• 37

Divide: (x³ + 6x² + 11x + 6) by (x + 1)

• x² + 2x + 6

• x² + 3x + 6

• x² + 5x + 6

• x² + 4x + 6

Simplify: (2x + 3)(x² - 2x + 1) - (x - 2)(x² + 2x + 4)

• x³ - x² - 4x + 11

• x³ + 7x + 1

• x³ - 7x - 1

• x³ + 7x + 1

Subtract: (4x² + 3x - 2) - (2x² - x + 1)

• 2x² + 4x - 3

• 2x² + 2x - 3

• 2x² + 4x + 3

• 2x² + 2x + 3

Factorize: x² - 4

• (x + 2)(x - 2)

• (x + 4)(x - 4)

• (x + 1)(x - 1)

• (x + 3)(x - 3)

If 2x + 3y = 10 and x - y = 2, find the value of x and y.

• x = 4, y = 2

• x = 3, y = 1

• x = 16/5, y = 6/5

• x = 1, y = 3