Question

(1 +2x)(1-2x)-(X+ 2)(x-2)

Answer 1

\(\left(1+2x\right)\cdot\left(1-2x\right)-\left(x+2\right)\cdot\left(x-2\right)\)

\(=1^2-\left(2x\right)^2-\left(x^2-2^2\right)\)

\(=1-4x^2-x^2+4\)

\(=-5x^2+5\)

Answer 2

(1 + 2x)(1 - 2x) - (x + 2)(x - 2)

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

= 1 - 2x + 2x - 4x² - [x² - 2x + 2x - 4]

= 1 - 2x + 2x - 4x² - x² + 2x - 2x - 4

= -5x² - 3