X^2+13x+40=x^2+5x+8x+40 ∵ 40=5× 8 amp; 13=5+8 amp; =x(x+5)+8(x+5) =(x+5)(x+8) 𝐀𝐧𝐬. ...

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Factorisation by Regrouping Terms

Factorise: x2...

Question

Factorise:
$x^{2} + 13 x + 40$

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Solution

$x^{2} + 13 x + 40 = x^{2} + 5 x + 8 x + 40 {\begin{matrix} ∵ 40 = 5 \times 8 13 = 5 + 8 \end{matrix}} = x (x + 5) + 8 (x + 5) = (x + 5) (x + 8) A n s .$

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