Factorise: $36 x^{2} + 25 + 60 x$

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Solution

$36 x^{2} + 25 + 60 x$ or , $36 x^{2} + 60 x + 25$

$= 36 x^{2} + 30 x + 30 x + 25$

$= (36 x^{2} + 30 x) + (30 x + 25)$

$= 6 x (6 x + 5) + 5 (6 x + 5)$

$= (6 x + 5) (6 x + 5) = (6 x + 5)^{2}$

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Similar questions

\sqrt{36 x^{2} + 60 x + 25} =

(6 x + 5)

(6 x + 5)^{2} = 36 x^{2} + 5^{2} + 60 x

(6 x - 5)^{2} = 36 x^{2} + 5^{2} - 60 x

a^{2} - b^{2} = (a + b) (a - b)

36 x^{2} - 25

Factorise: $36 x^{2} - 81 y^{2}$

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