[Algebra basics] 대수식

[Algebra basics]

동류항 계산하기(Combinding like terms)

• 2(3x+5) = 6x+10
• -3y + 4xy - 2x² + 2x + y² - 4xy + 2y + 3x²
  • -y + x² + 2x + y²
• -5.55 - 8.55c + 4.35c = -5.55 - 4.2c

번분수(Fraction division as Algebraic expressions)

• 분수는 결국 나눗셈
• 분수의 나눗셈은 나누는 수의 역수의 곱
• (1/a - 1/b) / c ÷ 1/d
  • (b/ab - a/ab) / c ÷ 1/d
  • (b-a)/ab · 1/c · d
  • (db-da)/abc

3x/y
----
2x/7

• (3x/y) / (2x/7)
• 3x/y · 7/2x
• 21x/2xy
• 21/2y

1-(s/t)
-------
1+(s/t)

• 1=t/t
• (t-s)/t / (t+s)/t
• (t-s)/t · t/(t+s)
• (t-s) / (t+s)

3+(3/x)
-------
4+(4/x)

• (3x+3)/x + x/(4x+4)
• 3(x+1) / 4(x+1)
• 3/4