Question

factorise the following
x²+2x-1​

Answer 1

Step-by-step explanation:

Split the term:

x^2+2x-1

=x^2+2x+(2/2)^2-(2/2)^2–1

=[x^2+2x+1]-1–1

=(x+1)^2–2

=(x+1+sqrt(2))(x+1-sqrt(2))

Answer 2

x²+2x-1

= x²+x+x-1  ........(splitting the middle term.)

= x(x-1)+1(x-1)

= (x+1)(x-1)