Question

$1+2x+x²$
Factorise:

Answer ​

Answer 1

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• factories : 1 + 2x + x²

Answer

• we rewrite it as x² + 2 + 1
• we solve by using the formula (a + b)² = a² + b² + 2ab

we get,

⟼ x² + (1)² + 2(x)(1)

= (x + 1 )²

= (x + 1) (x + 1)

Answer 2

Answer:

$(x + 1)( x+ 1)$

Step-by-step explanation:

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

$= {x}^{2} + 2x + 1 \: \: (standard \: form)$

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

by taking common factors, we have–

$x(x + 1) + 1(x + 1) \\ = (x + 1)(x + 1)$

I hope this helps you!

@ana205