Answered

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I need some help please wow

Sagot :

We are asked to factorize the following trinomial (trinomial means three terms)

[tex]49x^2-70x+25[/tex]

Let us factorize the above trinomial.

It can be factored by using the perfect square rule

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

[tex]\begin{gathered} 49x^2=(7x)^2 \\ 25=5^2 \\ 70x=2(7x)(5) \end{gathered}[/tex]

So, the factorized expression is

[tex]49x^2-70x+25=(7x)^2-2(7x)(5)+(5)^2=(7x-5)^2[/tex]

Therefore, the answer is

[tex](7x-5)^2=(7x-5)(7x-5)[/tex]

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