Factorisation of Quadratic Expressions

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3 Questions

What is the factorization of $x^2 - 9$?

$(x + 3)(x - 3)$

What is the factorization of $4x^2 - 16$?

$4(x + 2)(x - 2)$

What is the factorization of $6x^2 - 54$?

$6(x + 3)(x - 3)$

Study Notes

Factorization of Quadratic Expressions

  • The factorization of $x^2 - 9$ is $(x - 3)(x + 3)$.
  • The factorization of $4x^2 - 16$ is $(2x - 4)(2x + 4)$.
  • The factorization of $6x^2 - 54$ is $(\sqrt{6}x - 6\sqrt{6})(\sqrt{6}x + 6\sqrt{6})$ or $(3x - 9)(3x + 9)$ in simplified form.

Test your factorisation skills with these quadratic expressions. Factorize the given expressions to find the solutions.

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