Question

if 100x^2 -b = (10x +1/2) (10x - 1/2),then the value of b is​

Answer 1

Answer:

b= 4

Step-by-step explanation:use identity (a +b)(a-b) = a^2 - b^2

$100x^{2} - b = (10x + \frac{1}{2}) ( 10x - \frac{1}{2} )\\ = 10x^{2} - \frac{1^{2} }{2^{2} }\\ = 100x^{2} - \frac{1}{4} \\100x^{2} - b = 100x^{2} - \frac{1}{4}\\ b = \frac{100x^{2}* 4 }{100x^{2} } \\b = 4$