Question

(15m+?)^2=225m^2+12n^3m+0,16n^6 Найдите пожалуйста "?"

Answer 1

формула имеет вид:

(a+b)^2 = a^2 + 2ab + b2

тут a - 15m , b - ?

0.16(n^6)

корень из 0.16 = 0.4

корень из n^6 = n^3 , откуда

? = 0.4n^3

Answer 2

To expand the left side of the equation, we can use the formula for squaring a binomial:

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

In this case, we have:

(15m + n^3)^2 = 225m^2 + 2(15m)(n^3) + (n^3)^2

To simplify the expression further, we can square the n^3 term:

(15m + n^3)^2 = 225m^2 + 30n^3m + n^6

Comparing this with the given expression, we can see that:

12n^3m = 30n^3m

So, we have:

15m + n^3 = sqrt(225m^2 + 30n^3m + n^6)

Simplifying the right side of the equation is difficult since there are three terms under the square root. We can simplify it slightly by factoring out a common factor of n^3:

sqrt(225m^2 + 30n^3m + n^6) = sqrt((15m)^2 + 2(15m)(n^3) + (n^3)^2 + (n^3)^3/100)

= 15m + n^3/10

Therefore, the answer is:

? = n^3/10