5

The factorization of 𝑥2 + 25 is:...

Question

The factorization of 𝑥2 + 25 is:

The factorization of 𝑥2 + 25 is:



Answers

Factor. $$ d^{2}-10 d+25 $$

Let's have what I normally pay scale plus 25 blessed in. So we can also I d dead. Yes, Give plus then e plus 25. No ive effect tries it by competing with the standard occasion the exterior plus B x plus e here, product off the rules that should be called came to see that is 25 and some off the roofs that is equal toe blessed them. So we have two numbers five and fight while we're taking the product. 55 25 And very, very adding these numbers five plus Find it, Understand? So these are the roots. So by using these rules, first of all right, a scale as it is no splitting the middle term by the rules. So figure right, it says his skin plus five a unless five plus 25 taking a as a common factor so that you become a plus five plus five is the common Hey, welcome Gave bliss fight keeping these terms into the bracket cape less five into a shapeless fight. So you can I keep this shapeless five hold scare. So this is a perfect a normal scared dynamo. So this is a perfect scared and try normal. That is the final answer

76 we have 25 plus b squared. So 25 is a perfect square piece. Where is a perfect square. But this has to be a subtraction. Since it is not a subtraction, this is prying.

I look first for a common factor. This does not have one. I recognise it to try no meal. And this is a perfect square, and so is one. So I'm going to try to see if it factors as a perfect square train owe me. Aly Binomial squared, so that would be the five X plus one. And again, the sign always comes. It's always the same, is is that one. But I have to check to make sure that the middle fits the pattern so the middle would always be too times the product of each of those. And this does give me 10 X, which is correct. So that is a perfect square. Try no meal, and that would be my answer.

Okay. The expression that we have here that we're hoping to factor is an example of a perfect square. Try no meal because you start with this perfect square B squared. You end with a perfect square five squared, and in between, you have two times five times be so that fits with this model here. And so we can factored into B plus five times B plus five, which we write as B plus five quantity squared.


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