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Arada [10]
4 years ago
14

Factor. 100x^2 − 20xy + y^2

Mathematics
2 answers:
pychu [463]4 years ago
4 0
100x²− 20xy + y²=

(10x-y) (10x-y) or (10x-y)²
insens350 [35]4 years ago
4 0

Answer:

the factor of 100x^2-20xy+y^2  are, 10x-y and 10x-y

Step-by-step explanation:

Using the identity rule:

(a-b)^2 = a^2-2ab+b^2

Factor the given equation:

100x^2-20xy+y^2

We can write this as:

10^2x^2-20xy+y^2

Use: (ab)^2 = a^2 \cdot b^2

⇒(10x)^2-2(10x)y+y^2

Apply the  identity rule:

(10x-y)^2

Therefore, the factor of 100x^2-20xy+y^2  are, 10x-y and 10x-y

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