Question

__________________________________
Solve the following.

(a - b) (a² + b² + ab) - (a + b) (a² + b² - ab)
__________________________________

________________________
★ Challenge to moderator and Brainly star's give me answer
★ give quality answer
★ dont spam
________________________​

Answer 1

Answer:

Answer

(a−b)(a 2+ab+b 2)=a3-b3

Formula:

(x−y)(x2+xy+y2)=x3−y3

Answer 2

• Now, there's a thing in mathematics which is undefined till date, i.e. , division by zero. So while solving relations, it is prohibited to multiply both sides or divide by 0. The reason being, it simply makes math go crazy.

• Notice the transition from step 4 to 5. We divide both sides by (a−b). Now recall that in step 1, you specified a=b. Woah! A big flaw!

$\sf \fbox {My \: Argument}$

$\sf \: a=b$

$\sf {a}^{2} =ab$

$\sf {a}^{2} − {b}^{2} =ab− {b}^{2}$

$\sf(a+b)(a−b)=b(a−b),$

$\bf \boxed {given (a−b)≠0 }$

• But it is equal to 0! (This is the exclamatory symbol, not at all the Factorial) So this is where you break down.

• Even if you're not so alert while doing this and carry your algebra on with this loophole, you might get to this in the 5th step,

$\sf \: a+b=b$

$\sf \: a=0⟹b=0⟹(a−b)=0$

• Even when you do wrong with math, it still tries to help you correct your mistake!

$\sf \fbox{Prove \: That- LHS=RHS}$

• Multiply both sides by 0,

$\sf \fbox{0 \: = \: 0}$