Agari
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I have to do step by step why the answer of (5x - 1) (5x - 1) is 25x^2 - 10x + 1.
How do i do it?

(5x - 1) (5x - 1)

Ans: 25x^2 - 10x + 1

Respuesta :

There’s 2 ways. One is simpler than the other; A normal bracket expansion we would do 5x * 5x which equals to 25x^2, then 5x * -1. Do the same with the second bracket: 5x * 5x = 25x^2. Then, 5x * -1 which is -5x
Now we have 25x^2 + -5x + 25x^2 -5x. Add like terms to get 50x^2 - 10x.
And the second method is using Pascals triangle but I’m not going to get much in detail as this is just a double extension bracket and all it will do is confuse you.

Answer:

Step-by-step explanation:

(5x - 1) (5x - 1)

= [tex](5x - 1)^{2}[/tex]

Using laws of exponents,

[tex](a - b)^{2} = a^{2} - 2ab + b^{2}[/tex]

here, a = 5x, b = 1

so it becomes,

[tex]5x^{2}[/tex] - 2 × 5x × 1 + [tex]1^{2}[/tex]

[tex]25x^{2}[/tex] - 10x + 1

Hope this helps

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