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Replace * with a monomial in such a way, that the trinomial becomes a perfect square 25b^2+70b+*

Sagot :

Esther

Answer:

[tex]49[/tex]

Step-by-step explanation:

[tex](a+b)^2=a^2+2ab+b^2[/tex] = Perfect square trinomial

25b^2+70b+* = [tex]25b^2+70b+*[/tex]

Our expression is:

[tex](5b+7)^2[/tex]

[tex](5b+7)(5b+7)[/tex]

[tex]25b^2+35b+35b+49[/tex]

[tex]25b^2+70b+49[/tex]

Hope this helps!