Question

I need some help please wow

Answer 1

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

`49x^2-70x+25`

Let us factorize the above trinomial.

It can be factored by using the perfect square rule

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

`\begin{gathered} 49x^2=(7x)^2 \\ 25=5^2 \\ 70x=2(7x)(5) \end{gathered}`

So, the factorized expression is

`49x^2-70x+25=(7x)^2-2(7x)(5)+(5)^2=(7x-5)^2`

Therefore, the answer is

`(7x-5)^2=(7x-5)(7x-5)`