Question

X + 2 whole cube is equals to x cube minus 4 it is a quadratic equation or not​

Answer 1

Answer:

yes.

Step-by-step explanation:

(x + 2)³ = x³ - 4

x³ + 2³ + 3(x)(2)[x + 2] = x³ - 4

8 + 6x[x + 2] = -4

6x² + 12x = -12

6x² + 12x - 12 = 0

6(x² + 2x - 2) = 0

x² + 2x - 2 = 0

Clearly, the above eqn is in the form ax² + bx + c = 0, therefore, it is quadratic equation.

Hope this helps you!!!

Answer 2

Given,

The expression: (x+2)³ = x³-4

To find,

Whether the given expression is a quadratic equation or not.

Solution,

We can easily solve this problem by following the given steps.

According to the question,

We have the following expression:

(x+2)³ = x³-4

Now, we will expand the expression on the left-hand side using the following identity:

(a+b)³ = a³+b³+3ab(a+b)

In this case, a = x and b = 2

(x)³+(2)³+3(x)(2) (x+2) = x³-4

x³+8+6x(x+2) = x³-4

Moving (x³-4) from the right-hand side to the left-hand side,

x³-x³+8+4+6x(x+2) = 0

12+6x²+12x = 0

Rearrange the terms:

6x²+12x+12 = 0

This equation is in the form of ax²+bx+c = 0. So, it is a quadratic equation.

Hence, (x+2)³ = x³-4 is a quadratic equation.