Question

Заповніть пропуски так, щоб одернажа рівність була тотожнісмю: а)4х(3m - n)=12xm - ___; б)2y³(___+___)+6y⁴+8y³; в)5a(a² - b)=____-____; г)(x² - x³)•____=2x³-____. Помогите пожалуйста! прошу​

Answer 1

Ответ:

Вставки в объяснении  знак ^ обозначает показатель степени

Объяснение:

а)4х(3m - n)=12xm - 4хn; б)2y³(3y+4)=6y⁴+8y³; в)5a(a² - b)=5a^3-5ab;

г)(x² - x³)•2x=2x³-2x^4.

Answer 2

а) 4х(3m + n) = 12xm + ___

To fill in the blank, we need to simplify the expression on the right side of the equation. Let's start by distributing the 4x to both terms inside the parentheses:

4x * 3m = 12xm 4x * n = 4xn

Now we can substitute these values back into the equation:

4х(3m + n) = 12xm + 4xn

So the missing term is 4xn.

б) 2y³(___ + ___) + 6y⁴ + 8y³

To fill in the blanks, we need to simplify the expression inside the parentheses. Let's start by combining like terms:

2y³ + 6y⁴ + 8y³

Combining the like terms, we get:

10y³ + 6y⁴

So the missing terms are 10y³ and 6y⁴.

в) 5a(a² + b) = ____ - ____

To fill in the blanks, we need to simplify the expression on the right side of the equation. Let's start by distributing the 5a to both terms inside the parentheses:

5a * a² = 5a³ 5a * b = 5ab

Now we can substitute these values back into the equation:

5a(a² + b) = 5a³ - 5ab

So the missing terms are 5a³ and 5ab.

г) (x² + x³) • ____ = 2x³ - ____

To fill in the blanks, we need to simplify the expression on the right side of the equation. Let's start by distributing the x² to both terms inside the parentheses:

x² • x² = x⁴ x² • x³ = x⁵

Now we can substitute these values back into the equation:

(x² + x³) • x⁴ = 2x³ - x⁵

So the missing terms are x⁴ and -x⁵.

I hope this helps! Let me know if you have any further questions.