Find one of the factors of (25x2-1)+(1+5x2). - Infinity Learn by Sri Chaitanya

The given expression is

(25 x^{2} - 1) + (1 + 5 x^{2})

.
Expand the expression,

(25 x^{2} - 1) + (1 + 5 x^{2}) = 25 x^{2} - 1 + 1 + 5 x^{2}

(25 x^{2} - 1) + (1 + 5 x^{2}) = 30 x^{2}

Split the into their factor 3x and 10x.

(25 x^{2} - 1) + (1 + 5 x^{2}) = (3 x) (10 x)

Hence,

(10 x)

is one of the factors of

(25 x^{2} - 1) + (1 + 5 x^{2})

.
Therefore, option 4 is correct.

Find one of the factors of $(25 x^{2} - 1) + (1 + 5 x^{2})$ .