Simplify: $x^{2} + 6 x + 9 - 4 y^{2}$ .

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Solution

We have,
$x^{2} + 6 x + 9 - 4 y^{2}$

$= (x + 3)^{2} - (2 y)^{2}$

Now use $(a^{2} - b^{2}) = (a - b) (a + b)$

$= (x + 2 y + 3) (x - 2 y + 3)$ .

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Similar questions

Factorise : $x^{2} + 6 x + 9 - 4 y^{2}$

x^{2} + 6 x + 9

(x^{2} + 3) (x - 3) + 9

3 x^{2} + 5 x y - 4 y^{2} + x^{2} - 8 x y - 5 y^{2}

Simplify:
(i) $x^{2} - 6 x = 27$
(ii) $x^{2} + 6 x - 10 = 0$

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