Question

x²-2x+1 factorise this problem​

Answer 1

Answer:

Hi ⭐❣️⭐

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

Hope it helps you

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Answer 2

Question:

x²- 2x + 1 factorize this problem​

Answer:

$\underline{\:\bold{(x-1)^{2}}\:}\:is\:the\:answer.$

Step-by-step explanation:

$x^{2} - 2x+1=0$

Product :- 1 =  -1 × -1

Sum :-  -2 =  (-1) + (-1)

$\implies x^{2} -x-x+1$

$\implies x(x-1)-1 (x-1)$

$\implies (x-1)(x-1)$

$\implies \boxed{(x-1)^{2}}$

Verification:

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

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

$\bigstar\boxed{(a-b)^{2} =a^{2} -2ab+b^{2} }$

Hence verified.