What is missing in the equation (x+9)^2 =x^2 _______ +81? .18x .18x^2 .9x With solution/explanation (wrong answers will be reported SEVERELY). Created by Eunoiakun. Math

explanation (wrong answers will be reported SEVERELY)...

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➣ Question: What is missing in the equation $\rm (x + 9)^2 = x^2 + \_ \_ + 81$ ?

➣ Answer: The missing term is 18x.

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${\Large{\overline{\underline{\rm{✎ \:Solution:}}}}}$

A perfect square trinomial has the general form:

$\qquad {\boxed{\rm a^2 + 2ab + b^2}}$ ,

where the middle term is twice the product of the square roots of the first and last terms ( $\rm 2 \sqrt{(a^2)(b^2)}$ ).

Solve for the middle term:

» Let $\rm n$ as the middle term of the perfect square trinomial, $\rm a^2$ = x², and $\rm b^2$ = 81

Therefore, the middle term of the perfect square trinomial is 18x.

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