Question

Simplify : (a+b) (asq- ab + b sq)

Plz answer me ​

Answer 1

Required Answer:-

Given to Simplify:

• $\tt(a+b)(a^{2}-ab+b^{2})$

Solution:

Given,

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

This can be written as,

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

Multiply,

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

Rearrange the terms,

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

Simplify,

$\tt=a^{3}+b^{3}$

Ф Hence, the simplified form is - a³ +b³.

Answer:

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

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