Question

(3x+5) (9x²-15x+25)=4(7x³+31)СРОООЧНО! ​

Answer 1

Ответ:

1

Объяснение:

Раскрываем скобки

27x³-45x²+75x+45x²-75x+125=28x³+124

-x³=-1

x³=1

x=1

Answer 2

Ответ:

27 х3 +125=28х3+124

27х3-28х3=124-125

-х=-1

х3=1

х=1

Объяснение:

По моему это будет правильно!

Удачи!

Answer 3

To solve the equation (3x + 5)(9x² - 15x + 25) = 4(7x³ + 31), we'll first expand both sides of the equation and then simplify it step by step.

Starting with the left side:

(3x + 5)(9x² - 15x + 25)

Use the distributive property (FOIL) to multiply these two binomials:

= 3x(9x² - 15x + 25) + 5(9x² - 15x + 25)

Now, distribute 3x and 5 into each term inside the parentheses:

= 27x³ - 45x² + 75x + 45x² - 75x + 125

Notice that the -45x² and +45x² terms cancel each other out, and the -75x and +75x terms also cancel out. We're left with:

= 27x³ + 125

Now, moving on to the right side of the equation:

4(7x³ + 31)

Use the distributive property to multiply 4 by each term inside the parentheses:

= 4(7x³) + 4(31)

= 28x³ + 124

Now, we have the equation:

27x³ + 125 = 28x³ + 124

To solve for x, we want to isolate the variable x. First, subtract 28x³ from both sides of the equation:

27x³ - 28x³ + 125 = 28x³ - 28x³ + 124

This simplifies to:

-x³ + 125 = 124

Now, subtract 125 from both sides:

-x³ + 125 - 125 = 124 - 125

This simplifies to:

-x³ = -1

Finally, multiply both sides by -1 to solve for x:

x³ = 1

Now, to find the value of x, take the cube root of both sides:

x = ∛1

Since the cube root of 1 is 1, the solution is:

x = 1

So, the value of x that satisfies the equation (3x + 5)(9x² - 15x + 25) = 4(7x³ + 31) is x = 1.