Gr 9 MATH: Ch 5.3 Factorise Algebraic Expressions
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Questions and Answers

What is the expansion of the binomial $(x + a)(x + b)$?

  • $x^2 + (a - b)x + ab$
  • $x^2 + (2a + b)x + ab$
  • $x^2 + (a + 2b)x + ab$
  • $x^2 + (a + b)x + ab$ (correct)

What is the general form for the square of a binomial $(a + b)$?

  • $a^2 + 2ab + b^2$ (correct)
  • $a^2 + 3ab + b^2$
  • $a^2 + ab + b^2$
  • $a^2 - ab + b^2$

What is the expansion of the binomial $(x - y)(x + z)$?

  • $x^2 + (y + z)x - yz$
  • $x^2 + (y - z)x + yz$
  • $x^2 + (y + z)x + yz$
  • $x^2 + (z - y)x - yz$ (correct)

What is the purpose of substituting specific values for variables in algebraic expressions?

<p>To check for equivalence and simplification (D)</p> Signup and view all the answers

What is the expansion of the binomial $(a - b)^2$?

<p>$a^2 - 2ab + b^2$ (C)</p> Signup and view all the answers

What is the expansion of the product of $(x + a)$ and $(x - a)$?

<p>$x^2 - a^2 (A)</p> Signup and view all the answers

If $x^2 + 5x + 6 = (x + a)(x + b)$, what is the value of $a$ and $b$?

<p>$a = 2, b = 3 (B)</p> Signup and view all the answers

What is the expansion of $(x + 2y)^2?

<p>$x^2 + 4y^2 + 4xy (B)</p> Signup and view all the answers

If $(a + b)^2 = 9x^2 + 12x + 4$, what is the value of $a$ and $b$?

<p>$a = 3x, b = 2 (B)</p> Signup and view all the answers

What is the expansion of $(x + 2y)(x - 3y)$?

<p>$x^2 - 5xy - 6y^2 (D)</p> Signup and view all the answers

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