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Quadratic Factorising

Learn how to factorise quadratic expressions using long multiplication method easily. Practice with examples like 24x, 28, (20 + 4)(20 + 8), and more to boost your algebra skills.

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Quadratic Factorising

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  1. Quadratic Factorising If you can long multiply you can factorise!

  2. 24 x 28 (20 + 4)(20 + 8) 20 4 24 28 192 480 672 x 20 400 80 8 x 24 480 + 20 x 24 8 160 32 192 400 80 160 32 + 672 1

  3. (a + 4) x (a + 8) (a + 4)(a + 8) a 4 (a + 4) (a + 8) 8a + 32 x a a2 4a 8(a + 4) a2 + 4a + a(a + 4) a2 + 4a a2 + 12a + 32 8 8a 32 8a + 32 a2 4a 8a 32 + a2 + 12a + 32 2

  4. (a - 4) x (a + 8) (a - 4)(a + 8) a -4 (a- 4) (a + 8) 8a- 32 x a a2 -4a 8(a- 4) a2-4a + a(a- 4) a2-4a a2 + 4a- 32 8 8a -32 8a- 32 a2 -4a 8a -32 + a2 + 4a - 32 3

  5. (a - 4) x (a - 8) (a - 4)(a - 8) a -4 (a- 4) (a- 8) 8a + 32 x a a2 -4a 8(a- 4) a2-4a + a(a- 4) a2-4a a2-12a + 32 -8 -8a +32 -8a + 32 a2 -4a -8a +32 + a2-12a + 32 4

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