Question

(9х+..)(9х-..)=81х2-36

Answer 1

(9х+..)(9х-..)=81х²-36,

(9х+..)(9х-..)=81х²-6²,

(9х+...)(9х-..)=(9х+6)(9х-6),

Значит многоточие равно 6.

Answer 2

It appears that you want to find the missing terms in the expression (9x + ?)(9x - ?) to make it equal to the expression 81x^2 - 36.

To do this, we can use the distributive property to expand the left-hand side of the equation:

(9x + ?)(9x - ?) = 81x^2 - 36

Let's expand it step by step:

(9x + ?)(9x - ?) = 81x^2 - 9x? + 9x? - ?^2

Notice that the middle terms, 9x? and -9x?, will cancel each other out when you multiply them. So, you're left with:

81x^2 - ?^2

Now, you want this to be equal to 81x^2 - 36. Therefore, we can equate the two expressions:

81x^2 - ?^2 = 81x^2 - 36

Now, to find the missing term '?,' you can solve for it:

• ?^2 = -36

To solve for '?,' take the square root of both sides, but remember to consider both the positive and negative square roots:

? = ±√36

? = ±6

So, the missing terms in your original expression are ±6. Therefore, your factored expression is:

(9x + 6)(9x - 6) = 81x^2 - 36

Either choice of +6 or -6 will make the equation correct.