Question

(5x-3y)³=(2a2+5B³)³=a2-144b⁴​

Answer 1

Ответ:

1)=125x³+225x²y+135xy²-27y³

2)=8a⁶+60a⁴b³+150a²b⁶+125b⁹

3)=(a-12b²)(a-12b²)

Answer 2

To solve the equation (5x - 3y)³ = (2a² + 5B³)³ = a² - 144b⁴, we can break it down into two parts and solve each separately.

Part 1: (5x - 3y)³ = (2a² + 5B³)³ Taking the cube root of both sides, we get: 5x - 3y = 2a² + 5B³

Part 2: (2a² + 5B³)³ = a² - 144b⁴ Expanding the left side using the binomial theorem: 8a⁶ + 60a⁴B³ + 150a²B⁶ + 125B⁹ = a² - 144b⁴

Now we have two equations:

Equation 1: 5x - 3y = 2a² + 5B³ Equation 2: 8a⁶ + 60a⁴B³ + 150a²B⁶ + 125B⁹ = a² - 144b⁴

From Equation 1, we can express x in terms of y: x = (2a² + 5B³ + 3y)/5

Substituting this value of x into Equation 2: 8a⁶ + 60a⁴B³ + 150a²B⁶ + 125B⁹ = a² - 144b⁴

This equation is a polynomial equation involving multiple variables and higher powers. It does not have a simple closed-form solution. To find numerical solutions, you can use numerical methods such as Newton's method or software programs capable of solving polynomial equations.

Keep in mind that there might be additional constraints or conditions missing from the problem statement that could help narrow down the solution space or provide further instructions for solving the equation.