M - Pure 1 - 1) Algebraic expressions Flashcards

1
Q

List All Index Laws

A
  • am × an = am + n
  • am ÷ an = am - n
  • (am)n = amn
  • (ab)n = an·bn
  • an/m = m√an
  • a-m = 1/am
  • a0 = 1
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2
Q

Equation for difference of two squares

A

x² - y² = (x + y)(x - y)

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3
Q

Manipulate √ab

A

√a × √b

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4
Q

Manipulate √a/b

A

√a/√b

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5
Q

Way to rationalise 1/√a

A

Multiply numerator and denominator by √a

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6
Q

Way to rationalise 1/[a + √b]

A

Multiply numerator and denominator by a - √b

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7
Q

Way to rationalise 1/[a - √b]

A

Multiply numerator and denominator by a + √b

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