Question

check the weather following equations are quadratic :- ( x+2 ) ^3 = x^3 - 4​

Answer 1

Answer:

yes

Step-by-step explanation:

the above process is a combination formula u can solve by simple method also

Answer 2

Answer:

$\large\boxed{\sf{Yes}}$

Step-by-step explanation:

Given an equation such that,

${(x + 2)}^{3} = {x}^{3} - 4$

To find whether it's quadratic oe not,

We know that,

• ${ (x + y)}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)$

Therefore, we will get,

$= > {x}^{3} + {2}^{3} + 3 \times x \times 2(x + 2) = {x}^{3} - 4 \\ \\ = > {x}^{3} + 6x(x + 2) + 8 = {x}^{3} - 4 \\ \\ = > 6 {x}^{2} + 12x = - 4 \\ \\ = > 6 {x}^{2} + 12x + 4 = 0$

Clearly, the highest power or the degree of variable is 2.

And, we know that, the equation in which highest power or the degree of variables is 2 is called a quadratic equation.

Hence, the given equation is quadratic equation.