Question

Can the cube of a positive number be a negative number?

Answer 1

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• No, cube of a positive number can not be negative because cube of every positive number is always positive.

• For example, Let x be any positive integer.

So,

$(x)^{3} = x\times x\times x \\ \\ = x^{2}\times x$

Which is always positive.

• Similarly, cube of a negative number is always negative.

• For example let us take (-x) be a negative number.

So,

$(-x)^{3} = (-x) \times (-x)\times (-x) \\ \\ = x^{2} \times (-x)$

which is always negative.

$<marquee><font color = red> More Related Information</marquee>$

▪︎ Cube of an odd number is alwas odd.

▪︎ Cube of an even number is always even.