The Snail's House

Snail's Behavior

• The snail sticks to surfaces like grass, leaves, fruits, or walls, and is not afraid of falling.
• The snail appears to be a part of its surroundings, as if it were a permanent fixture.

Self-Protection

• When faced with danger or bad weather, the snail retreats into its shell for protection.
• The snail's shell provides a secure hiding place.

Defensive Mechanism

• If the snail's horns are touched, it will quickly retreat into its shell, displaying displeasure.
• The snail has a strong instinct to protect itself by withdrawing into its shell.

Social Behavior

• The snail is a solitary creature, living alone without any companions.
• The snail is content with its own company and has no need for external possessions or relationships.

Algebraic Expressions

• To find the product of 3% and √3, multiply the coefficients and simplify the radicals.
• To find the value of x in the equation 2√2 × k = 4, divide both sides by 2√2 and simplify.
• To find the product of 3/5 and 5/3, multiply the numerators and multiply the denominators, then simplify.

Multiplication of Algebraic Expressions

• To multiply algebraic expressions, multiply each term in the first expression by each term in the second expression, and combine like terms.
• Examples of multiplication of algebraic expressions:
  • √7 × 14 = √(7 × 14) = √98
  • √12 × 2√3 = √(12 × 4 × 3) = √144
  • √5 × 15 × √3 = √(5 × 15 × 3) = √675
  • (√2 + √3) (√2 - √3) = 2 - 3 = -1
  • (√3 + 1) (3 - 1) (2 - 3) (4 + 2√3) = 2 × 2 × (-1) × (4 + 2√3) = -16 - 8√3

Simplification of Algebraic Expressions

• To simplify an algebraic expression, combine like terms and simplify the radicals.
• Examples of simplification of algebraic expressions:
  • √5 - 3 = √(5 - 9) = √(-4) = 2i
  • 3/2 + 3 = 9/2
  • 7 + √48 = 7 + 4√3
  • (√5 + 2) - 3 = √5 - 1
  • (√3 + √2) + √7 = √(3 + 2 + 7) = √12

Factorization of Algebraic Expressions

• To factorize an algebraic expression, find the greatest common factor (GCF) of the terms and divide each term by the GCF.
• Examples of factorization of algebraic expressions:
  • 9 - 4/5 = (9/5) - (4/5) = (5/5) = 1
  • -2 - √7 = -2 - √(7) = -2 - √(4 + 3) = -2 - 2i
  • √3 + √2 + √7 = √(3 + 2 + 7) = √12
  • √8 - 3 = √(8) - 3 = 2√2 - 3

Mixed Quadratic Equations

• To solve a mixed quadratic equation, factorize the equation and solve for the variable.
• Examples of mixed quadratic equations:
  • 9 - 4/5 = 0 => (5/5) = 0 => 1 = 0 => no solution
  • -2 - √7 = 0 => -2 - 2i = 0 => 2i = 2 => i = 1 (no real solution)
  • √3 + √2 + √7 = 0 => √(3 + 2 + 7) = 0 => √12 = 0 => no real solution
  • √8 - 3 = 0 => 2√2 - 3 = 0 => 2√2 = 3 => √2 = 3/2 => 2 = 9/4 => 8 = 9 => no real solution

This poem describes the snail's ability to protect itself by retreating into its shell, feeling secure and content in its own company. The snail's habits and characteristics are explored in this short poem.