Question

Factorise completely (2x+1)^2 -(x-1)^2

Answer 1

To factorize the expression completely, we use the difference of squares formula and simplify the expression to get 6x.

Step-by-step explanation:

The given expression is (2x+1)^2 -(x-1)^2. To factorize it completely, we can use the difference of squares formula, which states that (a^2 - b^2) = (a + b)(a - b). Applying this formula, we have:

(2x+1)^2 -(x-1)^2 = [(2x+1) + (x-1)][(2x+1) - (x-1)]

Simplifying further, we get:

(2x+1+x-1)(2x+1-x+1) = (3x)(2) = 6x.

Answer 2

Use photomath ! It's an app that gives you the answer with the explanation and it shows you how it got to the answer !