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Factorise p²-10p+25 ​

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3 votes

Explanation:

The answer to this question is (p-5)^2

Factorise p²-10p+25 ​-example-1
User ParPar
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2 votes

Answer:

Explanation:

The expression p² - 10p + 25 can be factored as follows:

p² - 10p + 25 = (p - 5)²

This is an example of perfect square trinomial. It can be recognized as such because the first and last terms are perfect squares (p² and 25), and the middle term (-10p) is twice the product of the square roots of the first and last terms (2√(p²×25) = 2p×5 = 10p).

So, the factored form of the expression is (p - 5)².

User Xavier Nodet
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