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Factorisation by Regrouping Terms

Factorise: 6p...

Question

Factorise:

$6 p^{2} + 11 p - 10$

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Solution

$6 p^{2} + 11 p - 10 = 6 x^{2} + 15 x - 4 x - 10 ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} ∵ 6 \times (- 10) = 60 ∴ - 60 = 15 \times (- 4) 11 = 15 - 4 \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭ = 3 x (2 x + 5) - 2 (2 x + 5) = (3 x - 2) (2 x + 5) A n s .$

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