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Factorise: x^2 + 13x + 40

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Factorise: x2 + 13x + 40

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First find the two numbers whose sum=13 and product=40

Clearly, the numbers are 8 and 5

∴ we get, x2 +13x + 40 

= x2 + 8x +5x + 40

= x(x+8) + 5(x+8)

= (x+8) (x+5)

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