Question

what number is added x²+8x to get a perfect square​

Answer 1

Answer:

The value which must be added to the expression x2 - 8x to make it a perfect square trinomial is 16.

Step-by-step explanation:

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Answer 2

Answer:

Look below for explanations

Step-by-step explanation:

We know that ( a + b )^2 = a^2 + b^2 + 2ab

Therefore, considering x^2 as the a^2 term, 8x as the 2ab term, we need to find a b^2 term.

Since it is 2ab, and we know that the a term is x, it means that the b term must be 8/2 = 4.

Answer 1 - 16 (4^2)

We know that ( a + b )^2 = a^2 + b^2 + 2ab

Therefore, considering x^2 as the a^2 term, 8x as the b^2 term, we get a=x and b=$\sqrt{8x}$.

Hence the 2ab term will be 2x$\sqrt{8x}$

Answer 2 - 2x$\sqrt{8x}$

Similarly, we can get answers for the remaining of the possibilities, i.e.

considering $x^{2}$ as 2ab, $x^{2}$ as b^2, 8x as a^2 and 8x as b^2.