Simplify:
$(a^{2} - b^{2}) x^{2} + 2 a x + 1$ .

Open in App

Solution

Now,
$(a^{2} - b^{2}) x^{2} + 2 a x + 1$ .
$= (a x)^{2} + 2 a x + 1 - (b x)^{2}$
$= (a x + 1)^{2} - (b x)^{2}$
$= (a x + b x + 1) (a x - b x + 1)$

Suggest Corrections

Similar questions

(a^{2} - b^{2}) x^{2} + 2 a x + 1

(a^{2} - b^{2}) (x^{2} - y^{2}) + 4 a b x y

a

b

b

\frac{1}{a + \sqrt{b}}

\frac{a + \sqrt{a^{2} - 2 a x}}{\sqrt{a^{2} - 2 a x}} = b

(a^{2} - b^{2}) (x^{2} - y^{2}) + 4 a b x y

Join BYJU'S Learning Program