Question

simplify (a-b)(a2+ab+b2)​

Answer 1

Step-by-step explanation:

a(a²+ab+b²)-b(a²+ab+b²)

a³+a²b+ab³-a²b-ab²-b³

a³-b³ans

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Answer 2

Simplified form is a³ - b³

GIVEN:-

$(a-b)( {a}^{2} +ab+ {b}^{2} )$

TO FIND:- Simply the given expression

SOLUTION:-

• An expression in mathematics is a numeric sentence with a minimum of two numbers or variables and at least one mathematic operation.

According to the question,

$(a-b)( {a}^{2} +ab+ {b}^{2} )$

We'll multiply a and -b individually with the other factor

$a( {a}^{2} + ab + {b}^{2} ) - b( {a}^{2} + ab + {b}^{2} ) \\ = {a}^{3} + {a}^{2} b + a {b}^{2} - {a}^{2} b - a {b}^{2} - {b}^{3}$

By arranging

$= {a}^{3} - {b}^{3} + {a}^{2} b - {a}^{2} b + a {b}^{2} - a {b}^{2} \\ = {a}^{3} - {b}^{3}$

Hence, the simplified form is a³ - b³

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