Question

If a minus b is equal to minus 8 and a b is equal to minus 12 then a cube minus b cube is equal to

Answer 1

The value of $a^{3}-b^{3}$  is equal to - 224.

Step-by-step explanation:

Given,

a - b = - 8 and ab = - 12

To find, the value of $a^{3}-b^{3}=?$

Using the algebraic identity,

$(a-b)^{3}=a^{3}-b^{3}-3ab(a-b)$

⇒ $a^{3}-b^{3}=(a-b)^{3}+3ab(a-b)$

Put a - b = - 8 and ab = - 12, we get

$a^{3}-b^{3}=(-8)^{3}+3(-12)(-8)$

⇒ $a^{3}-b^{3}=-512+288$

⇒ $a^{3}-b^{3}=-224$

∴ The value of $a^{3}-b^{3}=-224$

Thus, the value of $a^{3}-b^{3}$  is equal to - 224.

Answer 2

Answer:

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