Y^2+10y+24 =y^2+6y+4y+24 ∵ 24=6 × 4 amp; 10=6+4 amp; =y(y+6)+4(y+6) =(y+6)(y+4) ...

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Factorisation by Regrouping Terms

Factorise: y2...

Question

Factorise:
$y^{2} + 10 y + 24$

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Solution

$y^{2} + 10 y + 24 = y^{2} + 6 y + 4 y + 24 {\begin{matrix} ∵ 24 = 6 \times 4 10 = 6 + 4 \end{matrix}} = y (y + 6) + 4 (y + 6) = (y + 6) (y + 4)$

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(y^{2} + 10 y + 24) \div (y + 4)

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