Applying Special Algebraic Formulae

Applying Special Algebraic Formulae

Secondary 2

\({(a + b)^2 = a^2 + 2ab + b^2}\)

\({(a - b)^2 = a^2 - 2ab + b^2}\)

\({(a + b)(a - b) = a^2 - b^2}\)

Expand each of the following expressions.

  1. \({{\left( x+4 \right)}^{2}}\)
  2. \({{\left( 3x+8 \right)}^{2}}\)
  3. \({{\left( 7-x \right)}^{2}}\)
  4. \({{\left( 3x-4y \right)}^{2}}\)
  5. \(\left( x-3 \right)\left( x+3 \right)\)
  6. \(\left( 3x-4y \right)\left( 3x+4y \right)\)

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Answer:(a) \(x^2 + 8x + 16\) (b) \(9x^2 + 48x + 64\) (c) \(49 - 14x + x^2\) (d) \(9x^2 - 24xy + 16y^2\) (e) \(x^2 - 9\) (f) \(9x^2 - 16y^2\)

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