Factorise:

Question:

Factorise:
1 + 2x + x2

Solution:

We have:

$1+2 x+x^{2}=x^{2}+2 x+1$

$=x^{2}+2 \times x \times 1+(1)^{2}$

$=(x+1)^{2}$

$\therefore 1+2 x+x^{2}=(x+1)^{2}$

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