Question

One of the factors of (25x2–1)+(1+5x)2​

Answer 1

Answer:

Given:-

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

Solution:-

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

$= 25 {x}^{2} - 1 + 1 + 10x + 25 {x}^{2}$

$= {25x}^{2} + 10x$

$25 {x}^{2} = 5 \times 5 \times x \times x$

$10x = 2 \times 5 \times x$

Common factor 5x:-

$One \: \: of \: \: the \: \: factors \: \: of \: \: {25 x }^{2} - 1 + ( {1 + 5x)}^{2} = 5x$